CSIR Physical Sciences: Questions 11 - 14 of 401

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Question number: 11

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2013

MCQ▾

Question

The approximation cosθ1 is valid up to 3 decimal places as long as θ is less than: (take1800π=57.290)

(June)

Choices

Choice (4) Response

a.

4.010

b.

1.810

c.

3.280

d.

1.280

Question number: 12

» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals

Appeared in Year: 2013

MCQ▾

Question

Given that the integral, 0dxy2+x2=π2y, the value of,

0dx(y2+x2)2is

(December)

Choices

Choice (4) Response

a.

π4y3

b.

π8y3

c.

πy3

d.

π2y3

Question number: 13

» Quantum Mechanics » Dirac Notation for State Vectors

Appeared in Year: 2013

MCQ▾

Question

Consider the normalized state ψ of a particle in a one – dimensional harmonic oscillator:

ψ=b1 0+b2 1

Where 0 and 1 denoted the ground and first excited states respectively, and b1 and b2 are real constants. The expectation value of the displacement x in the state ψ will be a minimum when – (June)

Choices

Choice (4) Response

a.

b2=12b1

b.

b2=b1

c.

b2=0,(b1=1)

d.

b2=12b1

Question number: 14

» Classical Mechanics » Rigid Body Dynamics - Moment of Inertia Tensor

Appeared in Year: 2013

MCQ▾

Question

A ring of mass m and radius R rolls down (without slipping) an inclined plane starting from rest. If the centre of the ring is initially at a height h, the angular velocity when the ring reaches the base is – (December)

A ring rolls on inclined plane

A Ring Rolls on Inclined Plane

In figure a ring of mass m and radius R rolls down an inclined plane starting from rest.

Choices

Choice (4) Response

a.

q(hR)tanθ

b.

2ghR

c.

ghR

d.

g(hR)R2

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