Quantum Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 48 - 52 of 80

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Passage

A free particle of mass moves along the direction. At , the normalized wave function of the particle is given by , where is a real constant.

Question 48 (2 of 2 Based on Passage)

Appeared in Year: 2009

Question

MCQ▾

The expectation value of the particle energy is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 49

Appeared in Year: 2008

Question

MCQ▾

For a physical system, two observables and are known to be compatible. Choose the correct implication from amongst those given below:

Choices

Choice (4)Response

a.

Observation of and carried out on an arbitrary state of the physical system, lead to the identical results irrespective of the order in which the observations are made.

b.

Every non – degenerate eigenstate of must necessarily be an eigenstate of

c.

Every eigenstate of must necessarily be an eigenstate of

d.

When an observation of is carried out on an arbitrary state of the physical system, a subsequent observation of , leads to an unambiguous result

Question 50

Quantum Mechanics

Appeared in Year: 2007

Question

MCQ▾

If , the value of is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 51

Appeared in Year: 2007

Question

MCQ▾

An atomic state of hydrogen is represented by the following wavefunction:

Where is a constant. The quantum number of the state are –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 52

Appeared in Year: 2008

Question

MCQ▾

A finite wave train, of an unspecified nature, propagates along the positive axis with a constant speed and without any change of shape. The differential equation among the four listed below, whose solution it must be, is –

Choices

Choice (4)Response

a.

b.

c.

d.

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