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The wavelengths of K_{α} xrays of two metals ‘A’ and ‘B’ are and respectively, where ‘R’ is
Rydberg constant. The number of elements lying between ‘A’ and ‘B’ according to their atomic numbers is
A free neutron decays to a proton but a free proton does not decay to a neutron out side nucleus. This is beacuse
An α a particle with a kinetic energy of 2.1 eV makes a head on collision with a hydrogen atom moving towards it with a kinetic energy of 8.4 eV. The collision.
A monochromatic radiation of wavelength λ is incident on a sample containing He^{+}. As a result the Helium sample starts radiating. A part of this radiation is allowed to pass through a sample of atomic hydrogen gas in ground state. It is noticed that the hydrogen sample has started emitting electrons whose maximum Kinetic Energy is 37.4 eV. (hc = 12400 eV Å) Then λ is 
The work function of a certain metal is When a monochromatic light of wavelength λ < λ_{0} is
incident such that the plate gains a total power P. If the efficiency of photoelectric emission is η%
and all the emitted photoelectrons are captured by a hollow conducting sphere of radius R already
charged to potential V, then neglecting any interaction between plate and the sphere, expression of
potantial of the sphere at time t is :
The Kinetic energy must an αparticle possess to split a deutron H^{2} whose binding energy is E_{b} = 2.2 MeV 
Assuming that about 20 MeV of energy is released per fusion reaction, _{1}H^{2} + _{1}H^{3} → _{0}n^{1} + _{2}He^{4}, the mass of _{1}H^{2} consumed per day in a future fusion reactor of power 1 MW would be approximately
Nuclei of radioactive element A are produced at rate ' t^{2} ' at any time t. The element A has decay constant λ. Let N be the number of nuclei of element A at any time t. At time t = t_{0}, is minimum. Then the number of nuclei of element A at time t = t_{0} is
If nuclear charge is doubled in a hydrogen like atom, which of the following statement(s) are consistent with Bohr’s theory?
Ionization energy of a hydrogenlike ion B is less than that of hydrogen like ion A. Let r, u, E and L represent the radius of the orbit, speed of the electron, energy of the atom and orbital angular momentum of the electron respectively. In ground state
An electron makes a transition from n = 2 to n = 1 state in a hydrogen like atom.
Statement–1 : undergoes 2α decays, 2β decays (negative β) and 2 γ decays. As a result the
daughter product is .
Statement–2 : In α decay the mass number decreases by 4 unit and atomic number decreases by 2 unit.
In β decay (negative β) the mass number remains unchanged and atomic number increases by 1 unit. In
γ decay, mass number and atomic number remains unchanged.
Statement–1 : In the duration electron jumps from first excited state to ground state in a stationary isolated hydrogen atom, angular momentum of the electron about the nucleus is conserved.
Statement–2 : As the electron jumps from first excited state to ground state, in a hydrogen atom, the electrostatic force on electron is always directed towards the nucleus.
The orbital and spin angular momentum of the atom influence its magnetic structure and these properties are most directly studied by placing the atom in a magnetic field. Also, a magnetic field can affect the wavelengths of the emitted photons.
The angular momentum vector associated with an atomic state can take up only certain specified directions in space. This concept of space quantization was shown by Otto Stern and Walthor Gerlach in their experiment.
In the experiment, silver is vapourized in an electric oven and silver atoms spray into the evacuated apparatus through a small hole in the oven wall. The atoms which are electrically neutral but have a magnetic moment, are formed into a narrow beam as they pass through a slit in a screen. The beam, thus collimated, then passes between the poles of an electromagnet and finally, deposits its silver atoms on a glass plate that serves as a detector. The pole faces of the magnet are shaped to make the magnetic field as nonuniform as possible.
In a nonuniform magnetic field, there is a net force on a magnetic dipole. Its magnitude and direction depends on the orientation of the dipole. Thus the silver atoms in the beam are deflected up or down, depending on the orientation of their magnetic dipole moments with respect to the z–direction.
The potential energy of a magnetic dipole in a magnetic field where is magnetic dipole moment of the atom. From symmetry, the magnetic field at the beam position has no x or y components i.e.
The net force F_{z} on the dipole is
Thus, the net force depends, not on the magnitude of the field itself, but on its spatial derivative or gradient.
The Results
If space quantization did not exist, then could take on any value from + to –, the result would be a spreading out of the beam when the magnet was turned ON. However, the beam was split cleanly into two subbeams, each subbeam corresponding to one of the two permitted orientations of the magnetic moment of the silver atom, as shown.
In a silver atom, all the spin and orbital magnetic moments of the electrons cancel, except for those of the atom's single valance electron. For this electron the orbital magnetic moment is zero because orbital angular momentum is zero (because for electrons of s–orbit, L = 0), leaving only the spin magnetic moment. This can take up only two orientations in a magnetic field, corresponding to m_{s} = +1/2 and m_{s} = – 1/2. Hence there are two subbeams – and not some other number.
Q. A hydrogen atom in ground state passes through a magnetic field that has a gradient of 16mT/m in the vertical direction. If vertical component magnetic moment of the atom is 9.3 × 10^{–24} J/T, then force on it due to the magnetic moment of the electron is :
The orbital and spin angular momentum of the atom influence its magnetic structure and these properties are most directly studied by placing the atom in a magnetic field. Also, a magnetic field can affect the wavelengths of the emitted photons.
The angular momentum vector associated with an atomic state can take up only certain specified directions in space. This concept of space quantization was shown by Otto Stern and Walthor Gerlach in their experiment.
In the experiment, silver is vapourized in an electric oven and silver atoms spray into the evacuated apparatus through a small hole in the oven wall. The atoms which are electrically neutral but have a magnetic moment, are formed into a narrow beam as they pass through a slit in a screen. The beam, thus collimated, then passes between the poles of an electromagnet and finally, deposits its silver atoms on a glass plate that serves as a detector. The pole faces of the magnet are shaped to make the magnetic field as nonuniform as possible.
In a nonuniform magnetic field, there is a net force on a magnetic dipole. Its magnitude and direction depends on the orientation of the dipole. Thus the silver atoms in the beam are deflected up or down, depending on the orientation of their magnetic dipole moments with respect to the z–direction.
The potential energy of a magnetic dipole in a magnetic field where is magnetic dipole moment of the atom. From symmetry, the magnetic field at the beam position has no x or y components i.e.
The net force F_{z} on the dipole is
Thus, the net force depends, not on the magnitude of the field itself, but on its spatial derivative or gradient.
The Results
If space quantization did not exist, then could take on any value from + to –, the result would be a spreading out of the beam when the magnet was turned ON. However, the beam was split cleanly into two subbeams, each subbeam corresponding to one of the two permitted orientations of the magnetic moment of the silver atom, as shown.
In a silver atom, all the spin and orbital magnetic moments of the electrons cancel, except for those of the atom's single valance electron. For this electron the orbital magnetic moment is zero because orbital angular momentum is zero (because for electrons of s–orbit, L = 0), leaving only the spin magnetic moment. This can take up only two orientations in a magnetic field, corresponding to m_{s} = +1/2 and m_{s} = – 1/2. Hence there are two subbeams – and not some other number.
Q. A hydrogen atom in ground state passes through a magnetic field that has a gradient of 16mT/m in the vertical direction. If vertical component magnetic moment of the atom is 9.3 × 10^{–24} J/T, then force on it due to the magnetic moment of the electron is :
The orbital and spin angular momentum of the atom influence its magnetic structure and these properties are most directly studied by placing the atom in a magnetic field. Also, a magnetic field can affect the wavelengths of the emitted photons.
The angular momentum vector associated with an atomic state can take up only certain specified directions in space. This concept of space quantization was shown by Otto Stern and Walthor Gerlach in their experiment.
In the experiment, silver is vapourized in an electric oven and silver atoms spray into the evacuated apparatus through a small hole in the oven wall. The atoms which are electrically neutral but have a magnetic moment, are formed into a narrow beam as they pass through a slit in a screen. The beam, thus collimated, then passes between the poles of an electromagnet and finally, deposits its silver atoms on a glass plate that serves as a detector. The pole faces of the magnet are shaped to make the magnetic field as nonuniform as possible.
In a nonuniform magnetic field, there is a net force on a magnetic dipole. Its magnitude and direction depends on the orientation of the dipole. Thus the silver atoms in the beam are deflected up or down, depending on the orientation of their magnetic dipole moments with respect to the z–direction.
The potential energy of a magnetic dipole in a magnetic field where is magnetic dipole moment of the atom. From symmetry, the magnetic field at the beam position has no x or y components i.e.
The net force F_{z} on the dipole is
Thus, the net force depends, not on the magnitude of the field itself, but on its spatial derivative or gradient.
The Results
If space quantization did not exist, then could take on any value from + to –, the result would be a spreading out of the beam when the magnet was turned ON. However, the beam was split cleanly into two subbeams, each subbeam corresponding to one of the two permitted orientations of the magnetic moment of the silver atom, as shown.
In a silver atom, all the spin and orbital magnetic moments of the electrons cancel, except for those of the atom's single valance electron. For this electron the orbital magnetic moment is zero because orbital angular momentum is zero (because for electrons of s–orbit, L = 0), leaving only the spin magnetic moment. This can take up only two orientations in a magnetic field, corresponding to m_{s} = +1/2 and m_{s} = – 1/2. Hence there are two subbeams – and not some other number.
Q. A hydrogen atom in ground state passes through a magnetic field that has a gradient of 16mT/m in the vertical direction. If vertical component magnetic moment of the atom is 9.3 × 10^{–24} J/T, then force on it due to the magnetic moment of the electron is :
In columnI, consider each process just before and just after it occurs. Initial system is isolated from all other bodies. Consider all product particles (even those having rest mass zero) in the system. Match the system in columnI with the result they produce in columnII.
A radioactive sample has 12.0 × 10^{18} active nuclei at a certain instant. Number of nuclei still in the same active state after two halflives is n ×10^{18}. Find n.
In the figure shown electromagnetic radiations of wavelength 200nm are incident on the metallic plate A. The photo electrons are accelerated by a potential difference 10V. These electrons strike another metal plate B from which electromagnetic radiations are emitted. The minimum wavelength of the emitted photons is 100nm. The work function of the metal ‘A’ is x eV then find x + 2.2 use hc = 12400 eVÅ, use Rch = 13.6 eV.
An Xray tube is working at potential of 20 kV. The potential difference is decreased to 10 kV. It is found that
the difference of the wavelength of K_{α} Xray and the most energetic continuous Xray becomes 4 times the
difference before the change of voltage. Find the atomic number of the target element. Take b = 1 and =0.54.
Which of the following statement is correct with respect to the metal carbonyls of Ist transition series?
Concentrated sulphuric acid is added followed by heating of each of the following test tubes labelled (i) to (v).
Which of the following statement is incorrect about these observations ?
The following flow diagram represents the extraction of magnesium from sea water.
Which of the following options describes the correct reactants, products and reaction conditions ?
When CS_{2} layer containing both Br_{2} and I_{2} (2 : 1) is shaken with excess of Cl_{2} water, the violet colour due to I_{2} disappears and a pale yellow colour appears in the solution. The disappearance of violet colour and appearance of pale yellow colour is due to the formation of :
Which of the following has both facemer and optical isomers ?
An inorganic chloride (X) on heating with a sodium hydroxide solution liberates a colourless and noninflammable gas having characterisitic odour. The salt (X) gives a red colouration with 4nitrobenzenediazonium chloride in the presence of sodium hydroxide solution. X is :
A metal nitrate (X) gives a white precipitate with ammonia solution but the precipitate gets dissolved on adding ammonium salts. Lead dioxide and concentrated nitric acid on boiling with a dilute solution of metal nitrate (X) produces a violetred (or purple) colour solution. Small amount of metal nitrate (X) gives a amethystred bead with borax in oxidising flame when cold. The cation of metal nitrate is :
Which of the following molecules or ions may act as a bidentate ligand ?
Statement1 : Argon is used in the laboratory for handling substances that are airsensitive.
Statement2 : Argon is inert towards chemical reactivity due to the completely filled valence shell electronic configuration, high ionization enthalpy and more positive electron gain enthalpy.
Statement1 : tris(ethane1, 2diamine)nickel(II) nitrate is homoleptic outer orbital complex and paramagnetic with two unpaired electrons.
Statement2 : Complex tris(ethane1, 2diamine)nickel(II) nitrate when treated with a neutral solution of a thiosulphate produces a crystalline, green precipitate.
Q. Which of the following products are formed when potassium bromide reacts with (Y) in alkaline pH ?
Match the compounds listed in columnI with characteristic(s) / type of reaction(s) listed in columnII.
Column –I Column –II
(A) XeF_{2} (p) White solid
(B) XeF_{4} (q) Acts as oxidising agent.
(C) XeF_{6} (r) Undergoes addition reaction.
(D) XeO_{3} (s) Has lone pair(s) of electrons.
(t) Gives disproportionation reaction with H_{2}O or OH–
(P) In how many MO bonds, the bond lengths are equal ?
(Q) What is the oxidation state of the central metal ion ?
(R) What is the magnetic moment of the central metal ion ?
(S) How many peroxide linkages are there in the product formed by the reaction of [X] with H_{2}O_{2} in acidic medium?
Find out the oxidation state of sulphur in the compounds (A) to (C). Give average value without sign, if the compound(s) formed has more than one sulphur atoms. Does not consider the decimal. For example if the value is 3.5 than neglect the decimal and consider it as 35
Answer the following questions for the product [X].
(i) Number of negative monodenate ligand(s).
(ii) Effective atomic number of iron in the complex.
(iii) Number of unpaired electrons
Give the number of characteristic bond(s) found in the various oxyacids of phosphorus as given below.
(P) Number of POP bond(s) in cyclotrimetaphosphoric acid.
(Q) Number of PP bond(s) in hypophosphoric acid.
(R) Number of PH bond(s) in hypophosphorus acid.
(S) Number of POH bond(s) in pyrophosphoric acid.
Let are three noncoplanar vectors. If is perpendicular to then minimum value of x^{2} + y^{2} is
The plane x + 2y + 3z = 7 is rotated about the line where it cut yzplane by an angle θ. In the new position the plane contains the point (– 1, 0, 2). Then θ =
A ten digited number is formed without repeating any digit. The probability that the difference of the digits at equal distances from the begining and the end is always 1, is
There are five urns of the following compositions : 2 urns (composition A_{1}) with 2 white and 3 black balls each, 2 urns (composition A_{2}) with 1 white and 4 black balls each, 1 urn (composition A_{3}) with 4 white balls and 1 black ball. A ball is chosen from one of the urns taken at random. It turned out to be white. The probability that the ball drawn is from the urn of the third composition, is
Let A, B, C, D be real matrices (not necessarily square) such that A^{T} = BCD, B^{T} = CDA, C^{T} = DAB and D^{T} = ABC, where A^{T} represents transpose of A. Then for the matrix S = ABCD
P is the foot of the perpendicular dropped from origin O on the line of intersection of the planes x – 2y + 3z = 5 and 2x + 3y + z + 4 = 0 then
k subsets of a set A (having n elements) are chosen at random with replacement. The probability that their intersection is
p and q are chosen randomly from the set {1, 2, 3, ...., 10} with replacement. The probability that the roots of the equation x^{2} + px + q = 0 are
Statement1 : If two balls are drawn without replacement from an urn containing 3 red and 2 blue balls, then the probability of the event that 'second ball drawn is blue' is 1/4.
Statement2 : If two balls are drawn without replacement from an urn containing 3 red and 2 blue balls, then the probability of the event that 'first ball drawn is blue' is equal to the probability of the event that 'second ball drawn is blue' .
Q. If number of distinct terms in a quadratic form is 10, then number of variables in quadratic form is
Find the volume of the tetrahedron, if lengths of two opposite sides are 2 and 4 respectively and the shortest distance between them is 6 and these sides are inclined at 30º.
357 docs148 tests

JEE Advanced Test 7 Test  72 ques 
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357 docs148 tests

JEE Advanced Test 7 Test  72 ques 
JEE Advanced Test 8 Test  72 ques 
JEE Advanced Test 9 Test  72 ques 
JEE Advanced Test 10 Test  72 ques 
JEE Advanced Test 11 Test  72 ques 