CSIR Physical Sciences: Questions 33 - 36 of 389

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Question number: 33

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

Appeared in Year: 2014

MCQ▾

Question

Given,

n=0Pn(x)tn=(12xt+t2)12

For t <1, the value of P5(1) is – (June)

Choices

Choice (4) Response

a.

1

b.

0.5

c.

0.26

d.

-1

Question number: 34

» Classical Mechanics » Periodic Motion » Small Oscillations

Appeared in Year: 2014

MCQ▾

Question

The time period of a simple pendulum under the influence of the acceleration due to gravity g is T. The bob is subjected to an additional acceleration of magnitude 3g in the horizontal direction. Assuming small oscillations, the mean position and time period of oscillation, respectively, of the bob will be – (June)

Choices

Choice (4) Response

a.

600 to the vertical and T2

b.

00 to the vertical and 3T

c.

00 to the vertical and T3

d.

300 to the vertical and T2

Question number: 35

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2014

MCQ▾

Question

A particle of mass m in the potential V(x,y)=12mω2(4x2+y2), is in an eigenstate of energy E=52ω . The corresponding unnormalized eigenfunction is – (June)

Choices

Choice (4) Response

a.

yexp[mω2(x2+y2)]

b.

yexp[mω2(2x2+y2)]

c.

xyexp[mω2(x2+y2)]

d.

xexp[mω2(2x2+y2)]

Question number: 36

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2013

MCQ▾

Question

With z=x+iy, which of the following function f(x,y) is not a (complex) analytic function of z? (June)

Choices

Choice (4) Response

a.

f(x,y)=(x+iy8)3(4+x2y2+2ixy)7

b.

f(x,y)=(x+iy)7(1xiy)3

c.

f(x,y)=(x2y2+2ixy3)5

d.

f(x,y)=(1x+iy)4(2+x+iy)6

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