Mathematical Methods of Physics (CSIR Physical Sciences): Questions 22 - 24 of 65

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Question number: 22

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2012

MCQ▾

Question

The first few terms in the Laurent series for 1(z1)(z2) in the region 1 z 2 , and around z=1 is, (June)

Choices

Choice (4) Response

a.

2(z1)+5(z1)2+7(z1)3+

b.

12[1+z+z2+z3+][1+z2+z24+z38+]

c.

1z2[1+1z+1z2+][1+2z+4z2+]

d.

11zz(1z)2+(1z)3

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 0, 1,2,, , follow the Poisson distribution, with distinct mean values μ and v respectively. Then, (December)

Choices

Choice (4) Response

a.

The probability distribution of the random variable l=m+n is a binomial distribution.

b.

The variance of the random variable l=m+n is equal to μ+v .

c.

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

d.

The mean value of the random variable r=mn 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.

136

b.

116

c.

1108

d.

1216

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