Mathematical Methods of Physics (CSIR Physical Sciences): Questions 17 - 21 of 67

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Question number: 17

» 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: 18

» 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: 19

» 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

Question number: 20

» Mathematical Methods of Physics » Eigenvalues and Eigenvectors

Appeared in Year: 2012

MCQ▾

Question

The eigenvalue of the matrix A=(123246369) are, (June)

Choices

Choice (4) Response

a.

(0, 1,13)

b.

(0, 7,7)

c.

(0, 0,14)

d.

(1, 4,9)

Question number: 21

» Mathematical Methods of Physics » Elementary Probability Theory

Appeared in Year: 2012

MCQ▾

Question

A ball is picked at random from one of two boxes that contain 2 black, 3 white and 4 white, 3 black balls respectively. What is the probability that it is white? (June)

Choices

Choice (4) Response

a.

3670

b.

3470

c.

2970

d.

4170

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