Quantum Mechanics - MCQ Questions for CSIR NET, GATE - ChemContent

This article contains a quiz with 20 MCQs from Physics chapter "Quantum Mechanics". 

• Total Marks = 80
• Correct Answer = +4 Marks
• Incorrect Answer = -1 Marks

Quantum Mechanics Practice - Assignment 1

Question 1.

The de-Broglie wavelength of a particle having KE = Ek is given by

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Question 2.

The de-Broglie wavelength of a charge q and accelerated through a potential difference of V volts is

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Question 3.

Which of the following statement is correct?
(1) Only charged particle in motion are accompanied by matter waves
(2) No particle in motion whether charged or uncharged is accompanied by matter waves
(3) No particle whether rest or in motion is ever accompanied by matter waves
(4) Only sub-atomic particles in motion are accompanied by matter waves

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Question 4.

The de-Broglie hypothesis is associated with
(1) wave nature of electrons only
(2) wave nature of protons only
(3) wave nature of radiation
(4) wave nature of all material particles

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Question 5.

Matter waves are
(1) longitudinal
(2) electromagnetic
(3) always travel with the speed of light
(4) show diffraction

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Question 6.

According to Schrodinger, a particle is equivalent to a
(1) wave packet
(2) single wave
(3) light wave
(4) None

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Question 7.

Neglecting variation of mass with velocity, the wavelength associated with electron having a kinetic energy, E is proportional to–
(1) E^1/2
(2) E
(3) E^–1/2
(4) E^–2

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Question 8.

The wave function in the function in the ground state of hydrogen atom is given as

Ψ=Ae^-rkt

where r-measure distance from nucleus and a is constant. The value of A is-

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Question 9.

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Question 10.

The state of a free particle is represented by a wave function

Ψ(x,0)=Ne^{-x2/2a2.e-ik_ox}

The value of factor N is-

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Question 11.

If a charged particle of mass m is accelerated through a potential difference of V volts, the de-Broglie wavelength is proportional to-

(1) V
(2) V^–1/2
(3) V²
(4) V^1/2

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Question 12.

The wave function of a certain particle is Ψ = A cos² x for -π/2 to π/2, then the value of A is-

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Question 13.

For a Gaussian wave packet described by

The expectation value of the momentum operator is–
(1) 0 

(2) Undefined

(3) +a 

(4) –a

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Question 14.

Normalized wave function of the hydrogen atoms for 1s state is–

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Question 15.

The momentum wave function in the ground state of hydrogen atom is-

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Question 16.

The duration of radar pulse is 10^–6 s. The uncertainty in tis energy would be-

(1) 0
(2) 1.05 × 10^–35 J
(3) 1.05 × 10^–28 J
(4) 1.05 × 10^–21 J

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Question 17.

The lowest energy possible for a particle in a potential box is 2eV. The next highest energy the particles can have is-

(1) 4 eV 

(2) 8 eV

(3) 16 eV 

(4) 32 eV

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Question 18.

In an experiment, the measured values of a variables are respectively 1, 2, 3 and 4, while the prob.

corresponding to them are 1/4, 1/4, 1/4 and 1/4 respectively, then expectation values of x and x² are (respectively)-

(1) 2·5 and 7·5

(2) 7·5 and 2·5

(3) 0·5 and 0·5

(4) None of these

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Question 19.

A particle has the wave function Ψ(x, t) = A exp (iωt) cos kx. Which one of the following is correct?

(1) This is an eigen state of both energy and momentum

(2) This is an eigen state of momentum and not of energy

(3) This is an eigen state of energy and not momentum

(4) This is not an eigen state of energy and momentum

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Question 20.

The wave function of a particle is given by

Ψ=c exp(-x²α²), -∞ < x < +∞

(1) 1

(2) 1/3

(3) 1/2

(4) 1/4

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