CSIR Physical Sciences: Questions 72 - 75 of 401

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Question number: 72

» Classical Mechanics » Periodic Motion » Small Oscillations

Appeared in Year: 2011

MCQ▾

Question

A point particle of mass m carrying an electric charge q is attached to a spring of stiffness constant k . A constant electric field E along the direction of the spring is switched on for a time interval T (whereTmk) . Neglecting radiation loss, the amplitude of oscillation after the field is switched off is: (December)

Choices

Choice (4) Response

a.

qETmk

b.

qEmTk32

c.

qEk

d.

qET2m

Question number: 73

» Mathematical Methods of Physics » Vector Algebra and Vector Calculus

Appeared in Year: 2012

MCQ▾

Question

A vector perpendicular to any vector that lies on the plane defined by x+y+z=5 , is (June)

Choices

Choice (4) Response

a.

i^+j^+k^

b.

i^+j^

c.

j^+k^

d.

2i^+3j^+5k^

Question number: 74

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

Appeared in Year: 2012

MCQ▾

Question

The radioactive decay of a certain material satisfied Poisson statistics with a mean rate of λ per second, what should be the minimum duration of counting (in seconds) so that relative error is less than 1%? (June)

Choices

Choice (4) Response

a.

104λ

b.

1λ

c.

100λ

d.

104λ2

Question number: 75

» Mathematical Methods of Physics » Elements of Complex Analysis

Appeared in Year: 2012

MCQ▾

Question

Let u(x,y)=x+12(x2y2) be the real part of an analytic function f(z) of the complex variable z=x+iy , the imaginary part of f(z) is – (June)

Choices

Choice (4) Response

a.

y2x2

b.

y+xy

c.

y

d.

xy

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