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All questions of JEE Advanced 2018 for JEE Exam
Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11, ….. , and Y be the set consisting of the first 2018 terms of arithmetic progression 9, 16, 23, ….. . Then, the number of
elements in the set X ∪ Y is _____ .
Correct answer is '3748'. Can you explain this answer?
Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11, ….. , and Y be the set consisting of the first 2018 terms of arithmetic progression 9, 16, 23, ….. . Then, the number of
elements in the set X ∪ Y is _____ .
elements in the set X ∪ Y is _____ .
|
Nilesh Goyal answered |
n(X ∪Y) = n(X) + n(Y) – n(X ∪Y)
1, 6, 11, …. 2018 term
Tn = 1 + (n – 1)5 = 5n – 4
UK = 9 + (K – 1)7 = 7K + 2
for common terms
5n – 4 = 7K + 2
1, 6, 11, …. 2018 term
Tn = 1 + (n – 1)5 = 5n – 4
UK = 9 + (K – 1)7 = 7K + 2
for common terms
5n – 4 = 7K + 2
Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the yaxis, respectively. Let G1G2 be the chord of S passing through P0 and having slope –1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curve- a)x + y = 4
- b)(x – 4)2 + (y – 4)2 = 16
- c)(x – 4) (y – 4) = 4
- d)xy = 4
Correct answer is option 'A'. Can you explain this answer?
Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the yaxis, respectively. Let G1G2 be the chord of S passing through P0 and having slope –1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curve
a)
x + y = 4
b)
(x – 4)2 + (y – 4)2 = 16
c)
(x – 4) (y – 4) = 4
d)
xy = 4
|
Nikhil Sen answered |
Clearly they lie on x + y = 4
The ammonia prepared by treating ammonium sulphate with calcium hydroxide is completely used by
NiCl2.6H2O to form a stable coordination compound. Assume that both the reactions are 100% complete. If 1584 g of ammonium sulphate and 952 g of NiCl2.6H2O are used in the preparation, the combined weight (in grams) of gypsum and the nickel-ammonia coordination compound thus produced is ____.
(Atomic weights in g mol–1 : H = 1, N = 14, O = 16, S = 32, Cl = 35.5, Ca = 40, Ni = 59)
Correct answer is '2992'. Can you explain this answer?
The ammonia prepared by treating ammonium sulphate with calcium hydroxide is completely used by
NiCl2.6H2O to form a stable coordination compound. Assume that both the reactions are 100% complete. If 1584 g of ammonium sulphate and 952 g of NiCl2.6H2O are used in the preparation, the combined weight (in grams) of gypsum and the nickel-ammonia coordination compound thus produced is ____.
(Atomic weights in g mol–1 : H = 1, N = 14, O = 16, S = 32, Cl = 35.5, Ca = 40, Ni = 59)
NiCl2.6H2O to form a stable coordination compound. Assume that both the reactions are 100% complete. If 1584 g of ammonium sulphate and 952 g of NiCl2.6H2O are used in the preparation, the combined weight (in grams) of gypsum and the nickel-ammonia coordination compound thus produced is ____.
(Atomic weights in g mol–1 : H = 1, N = 14, O = 16, S = 32, Cl = 35.5, Ca = 40, Ni = 59)
|
Amrita Yadav answered |
A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring f armer F2 takes away the region which lies between the side PQ and a curve of the form y = xn (n > 1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR, then the value of n is _____ .
Correct answer is '4'. Can you explain this answer?
A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring f armer F2 takes away the region which lies between the side PQ and a curve of the form y = xn (n > 1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR, then the value of n is _____ .
|
Nandini Nair answered |
In a photoelectric experiment a parallel beam of monochromatic light with power of 200 W is incident on a perfectly absorbing cathode of work function 6.25 eV. The frequency of light is just above the threshold frequency so that the photoelectrons are emitted with negligible kinetic energy. Assume that the photoelectron emission efficiency is 100%. A potential difference of 500 V is applied between the cathode and the anode. All the emitted electrons are incident normally on the anode and are absorbed. The anode experiences a force F = n x 10-4 N due to the impact of the electrons. The value of n is __________. Mass of the electron me = 9 x 10-31 kg and 1.0 eV = 1.6 x 10-19 J.
Correct answer is '24.00'. Can you explain this answer?
In a photoelectric experiment a parallel beam of monochromatic light with power of 200 W is incident on a perfectly absorbing cathode of work function 6.25 eV. The frequency of light is just above the threshold frequency so that the photoelectrons are emitted with negligible kinetic energy. Assume that the photoelectron emission efficiency is 100%. A potential difference of 500 V is applied between the cathode and the anode. All the emitted electrons are incident normally on the anode and are absorbed. The anode experiences a force F = n x 10-4 N due to the impact of the electrons. The value of n is __________. Mass of the electron me = 9 x 10-31 kg and 1.0 eV = 1.6 x 10-19 J.
|
Rithika Mehta answered |
No. of photoelectrons emitted per second
One mole of a monatomic ideal gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If the initial temperature of the gas is 100 K and the universal gas constant R = 8.0 J mol-1K-1, the decrease in its internal energy, in Joule, is__________.
Correct answer is '900.00'. Can you explain this answer?
One mole of a monatomic ideal gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If the initial temperature of the gas is 100 K and the universal gas constant R = 8.0 J mol-1K-1, the decrease in its internal energy, in Joule, is__________.
|
Pranavi Iyer answered |
The solubility of a salt of weak acid (AB) at pH 3 is Y × 10–3 mol L−1. The value of Y is ____.
(Given that the value of solubility product of AB (Ksp) = 2 × 10–10 and the value of ionization constant of HB (Ka) = 1 × 10–8)
Correct answer is '4.47'. Can you explain this answer?
The solubility of a salt of weak acid (AB) at pH 3 is Y × 10–3 mol L−1. The value of Y is ____.
(Given that the value of solubility product of AB (Ksp) = 2 × 10–10 and the value of ionization constant of HB (Ka) = 1 × 10–8)
(Given that the value of solubility product of AB (Ksp) = 2 × 10–10 and the value of ionization constant of HB (Ka) = 1 × 10–8)
|
Manisha Choudhary answered |
The total number of compounds having at least one bridging oxo group among the molecules given below
is ____.N2O3, N2O5, P4O6, P4O7, H4P2O5, H5P3O10, H2S2O3, H2S2O5
Correct answer is '6'. Can you explain this answer?
The total number of compounds having at least one bridging oxo group among the molecules given below
is ____.
is ____.
N2O3, N2O5, P4O6, P4O7, H4P2O5, H5P3O10, H2S2O3, H2S2O5
|
Sushant Verma answered |
Counting Compounds with Bridging Oxo Groups
- N2O3: This compound has one bridging oxo group.
- N2O5: This compound has one bridging oxo group.
- P4O6: This compound has one bridging oxo group.
- P4O7: This compound has one bridging oxo group.
- H4P2O5: This compound has two bridging oxo groups.
- H5P3O10: This compound has three bridging oxo groups.
- H2S2O3: This compound has one bridging oxo group.
- H2S2O5: This compound has one bridging oxo group.
Therefore, out of the given compounds, a total of 6 compounds have at least one bridging oxo group.
- N2O3: This compound has one bridging oxo group.
- N2O5: This compound has one bridging oxo group.
- P4O6: This compound has one bridging oxo group.
- P4O7: This compound has one bridging oxo group.
- H4P2O5: This compound has two bridging oxo groups.
- H5P3O10: This compound has three bridging oxo groups.
- H2S2O3: This compound has one bridging oxo group.
- H2S2O5: This compound has one bridging oxo group.
Therefore, out of the given compounds, a total of 6 compounds have at least one bridging oxo group.
Two men are walking along a horizontal straight line in the same direction. The man in front walks at a
speed 1.0 ms −1 and the man behind walks at a speed 2.0 ms−1. A third man is standing at a height 12 m above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a sound of frequency 1430 Hz. The speed of sound in air is 330 ms−1 At the instant, when the moving men are 10 m apart, the stationary man is equidistant from them. The frequency of beats in Hz, heard by the stationary man at this instant, is __________.
Correct answer is '5.00'. Can you explain this answer?
Two men are walking along a horizontal straight line in the same direction. The man in front walks at a
speed 1.0 ms −1 and the man behind walks at a speed 2.0 ms−1. A third man is standing at a height 12 m above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a sound of frequency 1430 Hz. The speed of sound in air is 330 ms−1 At the instant, when the moving men are 10 m apart, the stationary man is equidistant from them. The frequency of beats in Hz, heard by the stationary man at this instant, is __________.
speed 1.0 ms −1 and the man behind walks at a speed 2.0 ms−1. A third man is standing at a height 12 m above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a sound of frequency 1430 Hz. The speed of sound in air is 330 ms−1 At the instant, when the moving men are 10 m apart, the stationary man is equidistant from them. The frequency of beats in Hz, heard by the stationary man at this instant, is __________.
|
|
Amrita Yadav answered |
Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar
binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions xA and xB, respectively, has vapour pressure of 22.5 Torr. The value of xA/xB in the new solution is ____.
(given that the vapour pressure of pure liquid A is 20 Torr at temperature T)
Correct answer is '19'. Can you explain this answer?
Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar
binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions xA and xB, respectively, has vapour pressure of 22.5 Torr. The value of xA/xB in the new solution is ____.
(given that the vapour pressure of pure liquid A is 20 Torr at temperature T)
binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions xA and xB, respectively, has vapour pressure of 22.5 Torr. The value of xA/xB in the new solution is ____.
(given that the vapour pressure of pure liquid A is 20 Torr at temperature T)
|
Devika Banerjee answered |
Among the species given below, the total number of diamagnetic species is ___.
H atom, NO2 monomer, O2 − (superoxide), dimeric sulphur in vapour phase, Mn3O4, (NH4)2[FeCl4], (NH4)2[NiCl4], K2MnO4, K2CrO4
Correct answer is '1'. Can you explain this answer?
Among the species given below, the total number of diamagnetic species is ___.
H atom, NO2 monomer, O2 − (superoxide), dimeric sulphur in vapour phase, Mn3O4, (NH4)2[FeCl4], (NH4)2[NiCl4], K2MnO4, K2CrO4
H atom, NO2 monomer, O2 − (superoxide), dimeric sulphur in vapour phase, Mn3O4, (NH4)2[FeCl4], (NH4)2[NiCl4], K2MnO4, K2CrO4
|
Sushant Khanna answered |
Paramagnetic: H, NO2 monomer O2 − superoxide , S2 (Vapour)[Mn3O4 is mixed oxide of Mn+2 and Mn+3],
(NH4)2 [FeCl4], (NH4)2[NiCl4], K2MnO4
Diamagnetic: K2CrO4
(NH4)2 [FeCl4], (NH4)2[NiCl4], K2MnO4
Diamagnetic: K2CrO4
The correct statement(s) regarding the binary transition metal carbonyl compounds is (are)
(Atomic numbers: Fe = 26, Ni = 28)- a)Total number of valence shell electrons at metal centre in Fe(CO)5 or Ni(CO)4 is 16
- b)These are predominantly low spin in nature
- c)Metal–carbon bond strengthens when the oxidation state of the metal is lowered
- d)The carbonyl C−O bond weakens when the oxidation state of the metal is increased
Correct answer is option 'B,C'. Can you explain this answer?
The correct statement(s) regarding the binary transition metal carbonyl compounds is (are)
(Atomic numbers: Fe = 26, Ni = 28)
(Atomic numbers: Fe = 26, Ni = 28)
a)
Total number of valence shell electrons at metal centre in Fe(CO)5 or Ni(CO)4 is 16
b)
These are predominantly low spin in nature
c)
Metal–carbon bond strengthens when the oxidation state of the metal is lowered
d)
The carbonyl C−O bond weakens when the oxidation state of the metal is increased
|
Bhavya Joshi answered |
(a) Electronic configuration of central metal atom in both cases is [Ar] 3d104s24p6 (8 electrons in
outermost shell and 18 valence electrons respectively).
(b) Low spin complex because CO is a strong field ligand.
(c) Metal-carbon bond strengthens when the oxidation state of metal is lowered.
(d) The carbonyl C – O bond becomes stronger when the oxidation state is increased.
outermost shell and 18 valence electrons respectively).
(b) Low spin complex because CO is a strong field ligand.
(c) Metal-carbon bond strengthens when the oxidation state of metal is lowered.
(d) The carbonyl C – O bond becomes stronger when the oxidation state is increased.
The correct option(s) to distinguish nitrate salts of Mn2+ and Cu2+ taken separately is (are)- a)Mn2+ shows the characteristic green colour in the flame test
- b)Only Cu2+ shows the formation of precipitate by passing H2S in acidic medium
- c)Only Mn2+ shows the formation of precipitate by passing H2S in faintly basic medium
- d)Cu2+/Cu has higher reduction potential than Mn2+/Mn (measured under similar conditions)
Correct answer is option 'B,D'. Can you explain this answer?
The correct option(s) to distinguish nitrate salts of Mn2+ and Cu2+ taken separately is (are)
a)
Mn2+ shows the characteristic green colour in the flame test
b)
Only Cu2+ shows the formation of precipitate by passing H2S in acidic medium
c)
Only Mn2+ shows the formation of precipitate by passing H2S in faintly basic medium
d)
Cu2+/Cu has higher reduction potential than Mn2+/Mn (measured under similar conditions)
|
Rounak Desai answered |
Cu2+ shows the characteristic green colour in the flame test.
Ksp of CuS < Ksp of MnS
Ksp of CuS < Ksp of MnS
A steel wire of diameter 0.5 mm and Young’s modulus 2 x 1011 Nm-2 carries a load of mass M. The length of the wire with the load is 1.0 m. A vernier scale with 10 divisions is attached to the end of this wire. Next to the steel wire is a reference wire to which a main scale, of least count 1.0 mm, is attached. The 10 divisions of the vernier scale correspond to 9 divisions of the main scale. Initially, the zero of vernier scale coincides with the zero of main scale. If the load on the steel wire is increased by 1.2 kg, the vernier scale division which coincides with a main scale division is __________. Take g = 10 ms-2 and is π = 3.2.
Correct answer is '3.00'. Can you explain this answer?
A steel wire of diameter 0.5 mm and Young’s modulus 2 x 1011 Nm-2 carries a load of mass M. The length of the wire with the load is 1.0 m. A vernier scale with 10 divisions is attached to the end of this wire. Next to the steel wire is a reference wire to which a main scale, of least count 1.0 mm, is attached. The 10 divisions of the vernier scale correspond to 9 divisions of the main scale. Initially, the zero of vernier scale coincides with the zero of main scale. If the load on the steel wire is increased by 1.2 kg, the vernier scale division which coincides with a main scale division is __________. Take g = 10 ms-2 and is π = 3.2.
|
Pallavi Desai answered |
Consider a hydrogen-like ionized atom with atomic number Z with a single electron. In the emission spectrum of this atom, the photon emitted in the n = 2 to n = 1 transition has energy 74.8 eV higher than the photon emitted in the n = 3 to n = 2 transition. The ionization energy of the hydrogen atom is 13.6 eV. The value of Z is __________.
Correct answer is '3.00'. Can you explain this answer?
Consider a hydrogen-like ionized atom with atomic number Z with a single electron. In the emission spectrum of this atom, the photon emitted in the n = 2 to n = 1 transition has energy 74.8 eV higher than the photon emitted in the n = 3 to n = 2 transition. The ionization energy of the hydrogen atom is 13.6 eV. The value of Z is __________.
|
Anuj Saini answered |
Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect thecoordinate axes at the points M and N. Then, the mid-point of the line segment MN must lie on the curve- a)(x + y)2 = 3xy
- b)x2/3 + y2/3 = 24/3
- c)x2 + y2 = 2xy
- d)x2 + y2 = x2y2
Correct answer is option 'D'. Can you explain this answer?
Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect thecoordinate axes at the points M and N. Then, the mid-point of the line segment MN must lie on the curve
a)
(x + y)2 = 3xy
b)
x2/3 + y2/3 = 24/3
c)
x2 + y2 = 2xy
d)
x2 + y2 = x2y2
|
|
Sushant Khanna answered |
Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity u0. Which of the following statements is (are) true?- a)The resistive force of liquid on the plate is inversely proportional to h
- b)The resistive force of liquid on the plate is independent of the area of the plate
- c)The tangential (shear) stress on the floor of the tank increases with u0
- d)The tangential (shear) stress on the plate varies linearly with the viscosity η of the liquid.
Correct answer is option 'A,C,D'. Can you explain this answer?
Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity u0. Which of the following statements is (are) true?
a)
The resistive force of liquid on the plate is inversely proportional to h
b)
The resistive force of liquid on the plate is independent of the area of the plate
c)
The tangential (shear) stress on the floor of the tank increases with u0
d)
The tangential (shear) stress on the plate varies linearly with the viscosity η of the liquid.
|
Mohit Patel answered |
In an experiment to measure the speed of sound by a resonating air column, a tuning fork of frequency 500 Hz is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length 50.7 cm and 83.9 cm. Which of the following statements is (are) true?- a)The speed of sound determined from this experiment is 332 ms-1
- b)The end correction in this experiment is 0.9 cm
- c)The wavelength of the sound wave is 66.4 cm
- d)The resonance at 50.7 cm corresponds to the fundamental harmonic
Correct answer is option 'A,C'. Can you explain this answer?
In an experiment to measure the speed of sound by a resonating air column, a tuning fork of frequency 500 Hz is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length 50.7 cm and 83.9 cm. Which of the following statements is (are) true?
a)
The speed of sound determined from this experiment is 332 ms-1
b)
The end correction in this experiment is 0.9 cm
c)
The wavelength of the sound wave is 66.4 cm
d)
The resonance at 50.7 cm corresponds to the fundamental harmonic
|
Nabanita Singh answered |
Let P be a matrix of order 3 x 3 such that all the entries in P are from the set {-1, 0, 1}. Then, the maximum possible value of the determinant of P is _____ .
Correct answer is '4'. Can you explain this answer?
Let P be a matrix of order 3 x 3 such that all the entries in P are from the set {-1, 0, 1}. Then, the maximum possible value of the determinant of P is _____ .
|
Prisha Yadav answered |
If 0 is used maximum can only be 4 If 0 not used then by using only {–1, 1} can only form matrix with maximum determinant value 4
For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the following
statement(s) is (are) TRUE ?- a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)
- b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1
- c)
- d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0
Correct answer is option 'A,B,D'. Can you explain this answer?
For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the following
statement(s) is (are) TRUE ?
statement(s) is (are) TRUE ?
a)
There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)
b)
There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1
c)
d)
There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0
|
|
Nikhil Sen answered |
In the figure below, the switches S1 and S2 are
closed simultaneously at t = 0 and a current starts to
flow in the circuit. Both the batteries have the same
magnitude of the electromotive force (emf) and the
polarities are as indicated in the figure. Ignore
mutual inductance between the inductors. The
current I in the middle wire reaches its maximum
magnitude Imax at time 
. Which of the
following statements is (are) true?
- a)
- b)
- c)
- d)
Correct answer is option 'B,D'. Can you explain this answer?
In the figure below, the switches S1 and S2 are
closed simultaneously at t = 0 and a current starts to
flow in the circuit. Both the batteries have the same
magnitude of the electromotive force (emf) and the
polarities are as indicated in the figure. Ignore
mutual inductance between the inductors. The
current I in the middle wire reaches its maximum
magnitude Imax at time. Which of the
following statements is (are) true?
closed simultaneously at t = 0 and a current starts to
flow in the circuit. Both the batteries have the same
magnitude of the electromotive force (emf) and the
polarities are as indicated in the figure. Ignore
mutual inductance between the inductors. The
current I in the middle wire reaches its maximum
magnitude Imax at time
. Which of thefollowing statements is (are) true?
a)
b)
c)
d)
|
Dipika Choudhury answered |
.
, then the value of [L] is_____ .
One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where V is the volume and T is the temperature). Which of the statements below is (are) true?
- a)Process I is an isochoric process
- b)In process II, gas absorbs heat
- c)In process IV, gas releases heat
- d)Processes I and III are not isobaric
Correct answer is option 'B,C,D'. Can you explain this answer?
One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where V is the volume and T is the temperature). Which of the statements below is (are) true?
a)
Process I is an isochoric process
b)
In process II, gas absorbs heat
c)
In process IV, gas releases heat
d)
Processes I and III are not isobaric
|
Nandini Choudhury answered |
Process II is an isothermal expansion
Process IV is an isothermal compression
In isobaric process, volume is directly proportional to temperature.
Process IV is an isothermal compression
In isobaric process, volume is directly proportional to temperature.
Let f : R → R and g : R → R be two non-constant differentiable functions. If
and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE ?- a)f(2) < 1 – loge 2
- b)f(2) > 1 – loge 2
- c)g(1) > 1 – loge 2
- d)g(1) < 1 – loge 2
Correct answer is option 'B,C'. Can you explain this answer?
Let f : R → R and g : R → R be two non-constant differentiable functions. If
and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE ?
and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE ?
a)
f(2) < 1 – loge 2
b)
f(2) > 1 – loge 2
c)
g(1) > 1 – loge 2
d)
g(1) < 1 – loge 2
|
Mihir Patel answered |
The surface of copper gets tarnished by the formation of copper oxide. N2 gas was passed to prevent the
oxide formation during heating of copper at 1250 K. However, the N2 gas contains 1 mole % of water
vapour as impurity. The water vapour oxidises copper as per the reaction given below:
is the minimum partial pressure of H2 (in bar) needed to prevent the oxidation at 1250 K. The value of
ln 
is ____.
(Given: total pressure = 1 bar, R (universal gas constant) = 8 J K-1 mol-1, ln(10) = 2.3. Cu(s) and Cu2O(s)
are mutually immiscible.
At 1250 K: 2Cu(s) + ½ O2(g) --> Cu2O(s); ΔGθ = − 78,000 J mol−1
H2(g) + ½ O2(g) --> H2O(g); ΔGθ = − 1,78,000 J mol−1; G is the Gibbs energy)
Correct answer is '-14.6'. Can you explain this answer?
The surface of copper gets tarnished by the formation of copper oxide. N2 gas was passed to prevent the
oxide formation during heating of copper at 1250 K. However, the N2 gas contains 1 mole % of water
vapour as impurity. The water vapour oxidises copper as per the reaction given below:
is the minimum partial pressure of H2 (in bar) needed to prevent the oxidation at 1250 K. The value of
ln is ____.
(Given: total pressure = 1 bar, R (universal gas constant) = 8 J K-1 mol-1, ln(10) = 2.3. Cu(s) and Cu2O(s)
are mutually immiscible.
At 1250 K: 2Cu(s) + ½ O2(g) --> Cu2O(s); ΔGθ = − 78,000 J mol−1
H2(g) + ½ O2(g) --> H2O(g); ΔGθ = − 1,78,000 J mol−1; G is the Gibbs energy)
oxide formation during heating of copper at 1250 K. However, the N2 gas contains 1 mole % of water
vapour as impurity. The water vapour oxidises copper as per the reaction given below:
is the minimum partial pressure of H2 (in bar) needed to prevent the oxidation at 1250 K. The value ofln
is ____.(Given: total pressure = 1 bar, R (universal gas constant) = 8 J K-1 mol-1, ln(10) = 2.3. Cu(s) and Cu2O(s)
are mutually immiscible.
At 1250 K: 2Cu(s) + ½ O2(g) --> Cu2O(s); ΔGθ = − 78,000 J mol−1
H2(g) + ½ O2(g) --> H2O(g); ΔGθ = − 1,78,000 J mol−1; G is the Gibbs energy)
|
Pranav Pillai answered |
Let P be a point in the first octant, whose image Q in the plane x + y = 3 (that is, the line segment PQ is perpendicular to the plane x + y = 3 and the mid-point of PQ lies in the plane x + y = 3) lies on the z-axis. Let the distance of P from the x-axis be 5. If R is the image of P in the xy-plane, then the length of PR is _______________.
Correct answer is '8'. Can you explain this answer?
Let P be a point in the first octant, whose image Q in the plane x + y = 3 (that is, the line segment PQ is perpendicular to the plane x + y = 3 and the mid-point of PQ lies in the plane x + y = 3) lies on the z-axis. Let the distance of P from the x-axis be 5. If R is the image of P in the xy-plane, then the length of PR is _______________.
|
Pankaj Sengupta answered |
Let Q = (0, 0, z1) then P is image of Q in x + y = 3
P = (3, 3, z1)
=> (3)2 + z12 = 25 z1 =4
Length of PR = 2 z1 = 8
A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle 60° with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is 
, then the height of the top of the inclined plane, in metres, is __________. Take g = 10 ms–2.
Correct answer is '0.75'. Can you explain this answer?
A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle 60° with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is , then the height of the top of the inclined plane, in metres, is __________. Take g = 10 ms–2.
, then the height of the top of the inclined plane, in metres, is __________. Take g = 10 ms–2.|
|
Devika Banerjee answered |
are defined as 
, where a is a constant and 
at time t = 
for the first time, the value of 
, in seconds, is _____.
The electric field E is measured at a point P(0, 0, d) generated due to various charge distributions and the dependence of E on d is found to be different for different charge distributions. List-I contains different relations between E and d. List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.
- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
The electric field E is measured at a point P(0, 0, d) generated due to various charge distributions and the dependence of E on d is found to be different for different charge distributions. List-I contains different relations between E and d. List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.
a)
b)
c)
d)
|
Shilpa Saha answered |
, where a > b > 0, be a hyperbola in the xy-plane whose conjugate axis LM subtends an angle of 60° at one of its vertices N. Let the area of the triangle LMN be 
.
A particle, of mass 10-3 kg and charge 1.0 C, is initially at rest. At time t = 0, the particle comes under the influence of an electric field 
, where E0 = 1.0 NC-1 and ω = 103 rad s-1 . Consider the effect of only the electrical force on the particle. Then the maximum speed, in m s-1, attained by the particle at subsequent times is ____________.
Correct answer is '2.00'. Can you explain this answer?
A particle, of mass 10-3 kg and charge 1.0 C, is initially at rest. At time t = 0, the particle comes under the influence of an electric field , where E0 = 1.0 NC-1 and ω = 103 rad s-1 . Consider the effect of only the electrical force on the particle. Then the maximum speed, in m s-1, attained by the particle at subsequent times is ____________.
, where E0 = 1.0 NC-1 and ω = 103 rad s-1 . Consider the effect of only the electrical force on the particle. Then the maximum speed, in m s-1, attained by the particle at subsequent times is ____________.|
|
Pankaj Sengupta answered |
A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass m = 0.4 kg is at rest on this surface. An impulse of 1.0 Ns is applied to the block at time t = 0 so that it starts moving along the x-axis with a velocity v(t) = 
, where v0 is a constant and 
The displacement of the block, in meters, at 
is _________. Take e-1 = 0.37.
Correct answer is '6.30'. Can you explain this answer?
A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass m = 0.4 kg is at rest on this surface. An impulse of 1.0 Ns is applied to the block at time t = 0 so that it starts moving along the x-axis with a velocity v(t) = , where v0 is a constant and The displacement of the block, in meters, at is _________. Take e-1 = 0.37.
, where v0 is a constant and The displacement of the block, in meters, at is _________. Take e-1 = 0.37.|
|
Prisha Yadav answered |
where 
denote binomial coefficients. Then the value of 
X is ____________. 
be a twice differentiable function such that 
, then which of the following statement(s) is (are) TRUE ?
Consider two straight lines, each of which is tangent to both the circle x2 + y2 = 1/2 and the parabola y2 = 4x. Let these lines intersect at the point Q. Consider the ellipse whose center is at the origin O(0, 0) and whose semi-major axis is OQ. If the length of the minor axis of this ellipse is 
, then which of the following statement(s) is (are) TRUE?- a)For the ellipse, the eccentricity is
and the length of the latus rectum is 1 - b)For the ellipse, the eccentricity is 1/2 and the length of the latus rectum is 1/2
- c)The area of the region bounded by the ellipse between the lines
and x = 1 is 
- d)The area of the region bounded by the ellipse between the lines
and x = 1 is 
Correct answer is option 'A,C'. Can you explain this answer?
Consider two straight lines, each of which is tangent to both the circle x2 + y2 = 1/2 and the parabola y2 = 4x. Let these lines intersect at the point Q. Consider the ellipse whose center is at the origin O(0, 0) and whose semi-major axis is OQ. If the length of the minor axis of this ellipse is , then which of the following statement(s) is (are) TRUE?
, then which of the following statement(s) is (are) TRUE?a)
For the ellipse, the eccentricity is and the length of the latus rectum is 1
and the length of the latus rectum is 1b)
For the ellipse, the eccentricity is 1/2 and the length of the latus rectum is 1/2
c)
The area of the region bounded by the ellipse between the lines and x = 1 is
and x = 1 is d)
The area of the region bounded by the ellipse between the lines and x = 1 is
and x = 1 is
|
Prasenjit Malik answered |
To measure the quantity of MnCl2 dissolved in an aqueous solution, it was completely converted to KMnO4
using the reaction, MnCl2 + K2S2O8 + H2O -->KMnO4 + H2SO4 + HCl (equation not balanced). Few drops
of concentrated HCl were added to this solution and gently warmed. Further, oxalic acid (225 mg) was
added in portions till the colour of the permanganate ion disappeared. The quantity of MnCl2 (in mg)
present in the initial solution is ____.
(Atomic weights in g mol−1: Mn = 55, Cl = 35.5)- a)
- b)
- c)
- d)
Correct answer is '126'. Can you explain this answer?
To measure the quantity of MnCl2 dissolved in an aqueous solution, it was completely converted to KMnO4
using the reaction, MnCl2 + K2S2O8 + H2O -->KMnO4 + H2SO4 + HCl (equation not balanced). Few drops
of concentrated HCl were added to this solution and gently warmed. Further, oxalic acid (225 mg) was
added in portions till the colour of the permanganate ion disappeared. The quantity of MnCl2 (in mg)
present in the initial solution is ____.
(Atomic weights in g mol−1: Mn = 55, Cl = 35.5)
using the reaction, MnCl2 + K2S2O8 + H2O -->KMnO4 + H2SO4 + HCl (equation not balanced). Few drops
of concentrated HCl were added to this solution and gently warmed. Further, oxalic acid (225 mg) was
added in portions till the colour of the permanganate ion disappeared. The quantity of MnCl2 (in mg)
present in the initial solution is ____.
(Atomic weights in g mol−1: Mn = 55, Cl = 35.5)
a)
b)
c)
d)
|
Avi Chawla answered |
Number of meq of MnCl2 = number of meq of KMnO4
= number of meq of H2C2O4
= 5
= number of meq of H2C2O4
= 5
Weight of MnCl2 taken = 
= 126 mg
= 126 mg
In the following reaction sequence, the amount of D (in g) formed from 10 moles of acetophenone is ____.
(Atomic weights in g mol–1: H = 1, C = 12, N = 14, O = 16, Br = 80. The yield (%) corresponding to the
product in each step is given in the parenthesis)
Correct answer is '495'. Can you explain this answer?
In the following reaction sequence, the amount of D (in g) formed from 10 moles of acetophenone is ____.
(Atomic weights in g mol–1: H = 1, C = 12, N = 14, O = 16, Br = 80. The yield (%) corresponding to the
product in each step is given in the parenthesis)
(Atomic weights in g mol–1: H = 1, C = 12, N = 14, O = 16, Br = 80. The yield (%) corresponding to the
product in each step is given in the parenthesis)
|
|
Prisha Yadav answered |
and 
be two unit vectors such that 
. For some x, y ∈ R, let 
and the vector c 
is inclined at the same angle α to both 
and 
, then the value of 8cos2 α is _____ .
then the value of 
is ____________ .
For any positive integer n, define 
as
(Here the inverse trigonometric function tan-1 x assumes values in 
)Then, which of the following statement(s) is (are) TRUE?- a)
= 55 - b)
- c)For any fixed positive integer n,
- d)For any fixed positive integer n,
Correct answer is option 'D'. Can you explain this answer?
For any positive integer n, define as
as(Here the inverse trigonometric function tan-1 x assumes values in )
)Then, which of the following statement(s) is (are) TRUE?
a)
= 55b)
c)
For any fixed positive integer n,
d)
For any fixed positive integer n,
|
|
Pranav Pillai answered |
A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are
R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1, K1 and T1 to be,
respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite
1; and v2, L2, K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4,
match the ratios in List-I to the numbers in List-II.
- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
A planet of mass M, has two natural satellites with masses m1 and m2. The radii of their circular orbits are
R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1, K1 and T1 to be,
respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite
1; and v2, L2, K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4,
match the ratios in List-I to the numbers in List-II.
R1 and R2 respectively. Ignore the gravitational force between the satellites. Define v1, L1, K1 and T1 to be,
respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite
1; and v2, L2, K2 and T2 to be the corresponding quantities of satellite 2. Given m1/m2 = 2 and R1/R2 = 1/4,
match the ratios in List-I to the numbers in List-II.
a)
b)
c)
d)
|
Ritika Kulkarni answered |
The potential energy of a particle of mass m at a distance r from a fixed point O is given by V (r) = kr2/2,where k is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radiusR about the point O. If v is the speed of the particle and L is the magnitude of its angular momentum aboutO, which of the following statements is (are) true?- a)
- b)
- c)
- d)
Correct answer is option 'B,C'. Can you explain this answer?
The potential energy of a particle of mass m at a distance r from a fixed point O is given by V (r) = kr2/2,where k is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radiusR about the point O. If v is the speed of the particle and L is the magnitude of its angular momentum aboutO, which of the following statements is (are) true?
a)
b)
c)
d)
|
|
Nikhil Sen answered |
Match each set of hybrid orbitals from LIST–I with complex(es) given in LIST–II.
The correct option is- a)P → 5; Q → 4,6; R → 2,3; S → 1
- b)P → 5,6; Q → 4; R → 3; S → 1,2
- c)P → 6; Q → 4,5; R → 1; S → 2,3
- d)P → 4,6; Q → 5,6; R → 1,2; S → 3
Correct answer is option 'C'. Can you explain this answer?
Match each set of hybrid orbitals from LIST–I with complex(es) given in LIST–II.
The correct option is
a)
P → 5; Q → 4,6; R → 2,3; S → 1
b)
P → 5,6; Q → 4; R → 3; S → 1,2
c)
P → 6; Q → 4,5; R → 1; S → 2,3
d)
P → 4,6; Q → 5,6; R → 1,2; S → 3
|
|
Nabanita Singh answered |
] and [
] is
for all x, y ε R. Then, the value of loge(f (4)) is _____ .
Chapter doubts & questions for JEE Advanced 2018 - National Level Test Series for JEE Advanced 2025 2025 is part of JEE exam preparation. The chapters have been prepared according to the JEE exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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