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A long infinite currentcarrying wire is bent in the shape as shown in the figure. The magnetic induction at point O is:
Two gases A and B have equal pressure P, temperature T, and volume V. The two gases are mixed together and the resulting mixture has the same temperature T and volume V as before. The ratio of pressure exerted by the mixture to either of the two gases is:
A current of 1.6 A is passed through CuSO_{4} solution. The number of Cu^{++} ions liberated per minute are:
A book with many printing errors contains four different formulae for the displacement of a particle undergoing a certain periodic motion x. Which one is the wrong formula on dimensional grounds (A = amplitude, ω = angular velocity, T = time period of motion)?
The figure below shows four plates each of area A and separated from one another by a distance d.
What is the capacitance between P and Q?
A spring of spring constant 5 × 10^{3} is stretched initially by 5 cm from the unstretched position. The work required to stretch it further by another 5 cm is
Two sources of sound A and B produce progressive waves given by y_{1} = 6 cos(100πt) and y_{2} = 4 cos(102πt) ear the ears of an observer. It will hear
Two beams of red and violet colors are made to pass separately through a prism (angle of the prism is 60°). In the position of minimum deviation, the angle of refraction will be:
A planet of radius R = 1/10 × ( radius of Earth) has the same mass density as Earth. Scientists dig a well of depth R/5 on it and lower a wire of the same length and of linear mass density 10^{3 }kg m^{1 }into it. If the wire is not touching anywhere, the force applied at the top of the wire by a person holding it in place is: (take the radius of Earth = 6 × 10^{6} m and the acceleration due to gravity on Earth is 10 ms^{2})
A stone of mass m is attached to one end of a wire of crosssectional area A and Young's Modulus Y. The stone is revolved in a horizontal circle at speed so that the wire makes an angle θ with the vertical, the strain produced in the wire is
When the temperature of a metal wire is increased from 0°C to 10°C, its length increases by 0.02%. The percentage change in its mass density will be closest to:
Starting with the same initial conditions, an ideal gas expands from volume V_{1} to V_{2} in three different ways. The work done by the gas is W_{1} if the process is purely isothermal, W_{2} if the process is purely adiabatic and W_{3} if the process is purely isobaric. Then,
A leak proof cylinder of length 1 m, made of a metal which has very low coefficient of expansion, is floating vertically in water at 0°C such that its height above the water surface is 20 cm. When the temperature of water is increased to 4°C, the height of the cylinder above the water surface becomes 21 cm. The density of water at T = 4°C relative to the density at T = 0°C is close to: (Answer up to 2 decimal places)
A monoatomic gas at pressure P and volume V is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be:
The efficiency of a Carnot's engine, working between steam point and ice point, will be:
A calorimeter of water equivalent 20 g contains 180 g of water at 25°C. 'm' grams of steam at 100°C is mixed in it till the temperature of the mixture is 31°C. The value of 'm' is close to (Latent heat of water = 540 cal g^{1}, specific heat of water = 1 cal g^{1} °C^{1})
The specific heat of water = 4200 J kg^{1}K^{1} and the latent heat of ice = 3.4 × 105 J kg^{1}. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)
7 moles of certain monoatomic ideal gas undergoes a temperature increase of 40 K at constant pressure. The increase in the internal energy of the gas in this process is
(Given R = 8.3 JK^{1} mol^{1})
A Carnot's engine working between 400 K and 800 K has a work output of 1200 J per cycle. The amount of heat energy supplied to the engine from the source in each cycle is:
The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0°C to 50°C when no work is done is ______. (R is the universal gas constant.
An asteroid is moving directly towards the centre of the earth. When at a distance of 10 R (R is the radius of the earth) from the earth's centre, it has speed of 12 km/s. Neglecting the effect of earth's atmosphere, what will be the speed of the asteroid when it hits the surface of the earth (escape velocity from the earth is 11.2 km/s)? Give your answer to the nearest integer in kilometre(s).
A block of ice of mass 120 g at temperature 0°C is put in 300 gm of water at 25°C. The x g of ice melts as the temperature of the water reaches 0°C. The value of x is (in integers)
[Use: Specific heat capacity of water = 4,200 Jkg^{1}K^{1}, Latent heat of ice = 3.5 × 10^{5} Jkg^{1}]
A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, is (in integers)
A block of mass 'm' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25 cm when its speed is halved. The value of spring constant of used spring will be nE Nm^{1} for n = _____________. (in integers
A particle of mass 1 kg is hanging from a spring of force constant 100 Nm^{1}. The mass is pulled slightly downward and released, so that it executes free simple harmonic motion with time period T. The time when the kinetic energy and potential energy of the system will become equal is T/x. The value of x is _______. (in integers)
The electronic spectrum of [Ti(H_{2}O)_{6}]^{3+} shows a single broad peak with a maximum at 20,300 cm^{1}. The crystal field stabilisation energy (CFSE) of the complex ion, in kJ mol^{1}, is (1 kJ mol^{1} = 83.7 cm^{1})
The Crystal Field Stabilisation Energy (CFSE) of [CoF_{3}(H_{2}O)_{3}] (Δ_{0} < P) is
Consider the hydrated ions of Ti^{2+}, V^{2+}, Ti^{3+} and Sc^{3+}. The correct order of their spinonly magnetic moments is:
The coordination numbers of Co and Al, in [Co(Cl)(en)_{2}]Cl and K_{3}[Al(C_{2}O_{4})_{3}], respectively are
(en = ethane1, 2diamine)
Assertion A: Enol form of acetone [CH_{3}COCH_{3}] exists in < 0.1% quantity. However, the enol form of acetyl acetone [CH_{3}COCH_{2}OCCH_{3}] exists in approximately 15% quantity.
Reason R: Enol form of acetyl acetone is stabilised by intramolecular hydrogen bonding, which is not possible in enol form of acetone.
For the reaction given below:
The compound which is not formed as a product in the reaction is a
Which one of the following reactions will not yield propionic acid?
Two statements are given below:
Statement I: The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with odd number of carbon atoms acid immediately below and above it in the series.
Statement II: The solubility of monocarboxylic acids in water decreases with increase in molar mass.
The correct order of their reactivity towards hydrolysis at room temperature is:
Arrange the following coordination compounds in the increasing order of magnetic moments.
(Atomic numbers: Mn = 25; Fe = 26)
(A) [FeF_{6}]^{3}
(B) [Fe(CN)_{6}]^{3}
(C) [MnCl_{6}]^{3} (high spin)
(D) [Mn(CN)_{6}]^{3}
Given below are two statements:
Statement I: Potassium permanganate on heating at 573 K forms potassium manganate.
Statement II: Both potassium permanganate and potassium manganate are tetrahedral and paramagnetic in nature.
In the light of the above statements, choose the most appropriate answer from the options given below:
Fe^{3+} cation gives a Prussian blue precipitate on addition of potassium ferrocyanide solution due to the formation of:
In the flame test of a mixture of salts, a green flame with blue centre was observed. Which one of the following cations may be present?
Given below are two statements:
Statement I: The E° value of Ce^{4+}/Ce^{3+} is +1.74 V.
Statement II: Ce is more stable in Ce^{4+} state than Ce^{3+} state.
In the light of the above statements, choose the most appropriate answer from the options given below:
The reaction of H_{2}O_{2} with potassium permanganate in acidic medium leads to the formation of mainly:
Which one of the following lanthanides exhibits +2 oxidation state with diamagnetic nature?
(Given: Z for Nd = 60, Yb = 70, La = 57, Ce = 58)
The functional groups that are responsible for the ionexchange property of cation and anion exchange resins, respectively, are:
Which one of the following is an example of artificial sweetener?
Which of the following will be the correct spin magnetic moment value (B.M.) for the compound Hg[Co(SCN)_{4}]?
(Round off up to 2 decimal places)
At room temperature, the mole fraction of a solute is 0.25 and the vapour pressure of pure solvent is 0.80 atm. The vapour pressure (in atm) is lowered by
(Round off up to 1 decimal place)
The total number of negative charge in the tetrapeptide, GlyGluAspTyr at pH 12.5 will be _________. (Integer answer)
The work function of sodium metal is 4.41 × 10^{19} J. If photons of wavelength 300 nm are incident on the metal, the kinetic energy of the ejected electrons will be (h = 6.63 × 10^{34} J s; c = 3 × 10^{8} m/s) ________ × 10^{21} J. (Nearest integer)
If the solubility product of AB_{2} is 3.20 × 10^{11} M^{3}, then the solubility of AB_{2} in pure water is _____ × 10^{4} mol L^{1}. [Assuming that neither kind of ion reacts with water]
[Answer in 2 significant digits]
If f(x) is a quadratic expression such that f(1) + f(2) = 0, and 1 is a root of f(x) = 0, then the other root of f(x) = 0 is:
The number of fourlettered words that can be formed using the letters of the word BARRACK is:
The number of ways of arrangements of 10 persons in four chairs is 
If tan (π/9), x, tan (7π/18) are in arithmetic progression and tan (π/9), y, tan (5π/18) are also in arithmetic progression, then x  2y is equal to:
Let S_{n} denote the sum of first n terms of an arithmetic progression. If S_{10} = 530, S_{5} = 140, then S_{20}  S_{6} is equal to:
Let a_{1}, a_{2}, ... a_{n} be a given A.P. whose common difference is an integer and S_{n} = a_{1} + a_{2} + ... + a_{n}. If a_{1} = 1, a_{n} = 300 and 15 ≤ n ≤ 50, then the ordered pair (S_{n  4}, a_{n  4}) is equal to
Let S_{1} be the sum of first 2n terms of an arithmetic progression. Let S_{2} be the sum of first 4n terms of the same arithmetic progression. If (S_{2}  S_{1}) is 1000, then the sum of the first 6n terms of the arithmetic progression is equal to:
The greatest positive integer k, for which 49^{k} + 1 is a factor of the sum 49^{125} + 49^{124} + ... + 49^{2} + 49 + 1, is
Let α be a root of the equation x^{2} + x + 1 = 0 and the matrix A then the matrix A^{31} is equal to:
Let A and B be any two 3 × 3 symmetric and skewsymmetric matrices, respectively. Then which of the following is NOT true?
Let A = [a_{ij}] be a square matrix of order 3 such that a_{ij} = 2^{ji}, for all i, j = 1, 2, 3. Then, the matrix A^{2} + A^{3} + ... + A^{10} is equal to:
Let A = [a_{ij}] be a real matrix of order 3 x 3, such that a_{i1} + a_{i2} + a_{i3} = 1, for i = 1, 2, 3. Then, the sum of all the entries of the matrix A^{3} is equal to:
If for some α and β in R, the intersection of the following three planes
x + 4y  2z = 1
x + 7y  5z = β
x + 5y + α z = 5
is a line in R^{3}, then α + β is equal to
The ordered pair (a, b), for which the system of linear equations
3x  2y + z = b
5x  8y + 9z = 3
2x + y + az = 1
has no solution, is:
Let A and B be two 3 × 3 nonzero real matrices such that AB is a zero matrix. Then
Let A be a 3 × 3 invertible matrix. If adj(24A) = adj(3adj(2A)), then A^{2} is equal to:
Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x : r, for which the sum of their volumes is maximum, is
If A = ^{ }and M = A + A^{2} + A^{3} + ... + A^{20}, then the sum of all the elements of the matrix M is equal to __________. (in integers)
Let I be an identity matrix of order 2 × 2 and P = Then the value of n ∈ N for which P^{n} = 5I  8P is equal to _______.(in integers)
Let the function f(x) = 2x^{2}  log_{e}x, x > 0, be decreasing in (0, a) and increasing in (a, 4). A tangent to the parabola y^{2} = 4ax at a point P on it passes through the point (8a, 8a  1) but does not pass through the point If the equation of the normal at P is x/α + y/β = 1, then α + β is equal to____. (in integer)
Let AD and BC be two vertical poles at A and B, respectively, on a horizontal ground. If AD = 8 m, BC = 11 m and AB = 10 m, then the distance (in metres) of a point M on AB from the point A such that MD^{2} + MC^{2} is minimum is ________. (in integer)
Let f(x) = (x  1)(x^{2 } 2x  3) + x  3, x ∈ R If m and M are respectively the number of points of local minimum and local maximum of f in the interval (0, 4), then m + M is equal to _____. (in integer)
357 docs148 tests

JEE Main Mock Test  6 Test  75 ques 
JEE Main Mock Test  7 Test  75 ques 
JEE Main Mock Test  8 Test  75 ques 
JEE Main Mock Test  9 Test  75 ques 
JEE Main Mock Test  10 Test  75 ques 
357 docs148 tests

JEE Main Mock Test  6 Test  75 ques 
JEE Main Mock Test  7 Test  75 ques 
JEE Main Mock Test  8 Test  75 ques 
JEE Main Mock Test  9 Test  75 ques 
JEE Main Mock Test  10 Test  75 ques 