Mathematical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 10 - 14 of 71

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Question number: 10

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

Appeared in Year: 2014

MCQ▾

Question

The length element Equation of an arc is given by, Equation . The metric tensor Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 11

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2015

MCQ▾

Question

If Equation and Equation , then –

Choices

Choice (4) Response

a.

Equation is differentiable everywhere but Equation is not

b.

Equation and Equation are differentiable everywhere

c.

Equation is differentiable everywhere but Equation is not

d.

Equation is discontinuous at Equation

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 Equation everywhere in the complex plane?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 13

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2016

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 14

» Mathematical Physics » Matrices

Appeared in Year: 2012

MCQ▾

Question

The eigen values of the matrix Equation are –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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