CSIR Physical Sciences: Questions 91 - 94 of 389

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Question number: 91

» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions

Appeared in Year: 2014

MCQ▾

Question

If the electrostatic potential in spherical polar coordinates is φ(r)=φ0err0 ; where φ0 and r0 are constants, then the charge density at a distance r=r0 will be – (June)

Choices

Choice (4) Response

a.

ε0φ0er02

b.

eε0φ02r02

c.

ε0φ0er02

d.

2eε0φ0r02

Question number: 92

» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics

Appeared in Year: 2012

MCQ▾

Question

Two events, separated by a (special) distance 9×109m , are simultaneous in one inertial frame. The time interval between these two events in a frame moving with a constant speed 0.8c (where the speed of light c=3×108ms ) is – (June)

Choices

Choice (4) Response

a.

40 s

b.

60 s

c.

20 s

d.

0 s

Question number: 93

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2012

MCQ▾

Question

Given the usual canonical commutation relation, the commutator [A,B] of A=i(xpyypx) and B=(ypz+zpy) is - (December)

Choices

Choice (4) Response

a.

(xpzpxz)

b.

(xpzpxz)

c.

(xpz+pxz)

d.

(xpz+pxz)

Question number: 94

» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order

Appeared in Year: 2014

MCQ▾

Question

Consider the differential equation

d2xdt2+2dxdt+x=0

With the initial conditions x(0)=0 and x˙(0)=1 . The solution x(t) attains its maximum value when t is – (June)

Choices

Choice (4) Response

a.

12

b.

2

c.

1

d.

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