Mathematical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 11 - 16 of 76

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Question number: 11

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2015

MCQ▾

Question

If and , then –

Choices

Choice (4) Response

a.

is differentiable everywhere but is not

b.

and are differentiable everywhere

c.

is differentiable everywhere but is not

d.

is discontinuous at

Question number: 12

» Mathematical Physics » Elements of Complex Analysis » Cauchy-Riemann Conditions

Appeared in Year: 2016

MCQ▾

Question

Which of the following is an analytic function of everywhere in the complex plane?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 13

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2016

MCQ▾

Question

Consider the linear differential equation . If at then the value of at is given by,

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 14

» Mathematical Physics » Matrices

Appeared in Year: 2012

MCQ▾

Question

The eigen values of the matrix are –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 15

» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness

Appeared in Year: 2012

MCQ▾

Question

Identify the correct statement for the vectors and

Choices

Choice (4) Response

a.

The vectors and linearly dependent

b.

The vectors and are orthogonal

c.

The vectors and are normalized

d.

The vectors and are linearly independent

Question number: 16

» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications

Appeared in Year: 2012

MCQ▾

Question

The value of the integral , using the contour of circle with unit radius is –

Choices

Choice (4) Response

a.

b.

c.

d.

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