Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 23 - 26 of 77

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Question number: 23

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

Appeared in Year: 2014

MCQ▾

Question

Two independent random variables m and n, which can take the integer values , follow the Poisson distribution, with distinct mean values and respectively. Then, (December)

Choices

Choice (4) Response

a.

The probability distribution of the random variable is a binomial distribution.

b.

The variance of the random variable is equal to.

c.

The probability distribution of the random variable is also a Poisson distribution.

d.

The mean value of the random variable is equal to 0.

Question number: 24

» Mathematical Methods of Physics » Elementary Probability Theory

Appeared in Year: 2012

MCQ▾

Question

An unbiased dice is thrown three times successively. The probability that the numbers of dots on the uppermost surface add up to 16 is – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 25

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

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 26

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

Appeared in Year: 2014

MCQ▾

Question

Consider the differential equation

With the initial conditions and. The solution attains its maximum value when is – (June)

Choices

Choice (4) Response

a.

b.

2

c.

1

d.

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