Mathematical Physics (GATE Physics): Questions 1 - 5 of 39

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Question number: 1

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2014

MCQ▾

Question

The solution of the differential equation d2ydt2y=0

Subject to the boundary condition y(0)=1 and y()=0 , is –

Choices

Choice (4) Response

a.

cost+sint

b.

coshtsinht

c.

cosht+sinht

d.

costsint

Question number: 2

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

Appeared in Year: 2015

Short Answer Question▾

Write in Short

The value of 03t2δ(3t6)dt is ________ (up to one decimal place)

Question number: 3

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

Appeared in Year: 2014

MCQ▾

Question

The value of the integral Cz2ez+1dz, Where C is the circle z =4 , is –

Choices

Choice (4) Response

a.

4π2i

b.

2πi

c.

4π3i

d.

2π2i

Question number: 4

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

Appeared in Year: 2015

MCQ▾

Question

Consider a complex function f(z)=1z(z+12)cos(zπ) . Which one of the following statements is correct?

Choices

Choice (4) Response

a.

f(z) has infinite number of second order poles

b.

f(z) has a second order pole at z=12

c.

f(z) has all simple poles

d.

f(z) has simple poles at z=0 and z=12

Question number: 5

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

Appeared in Year: 2014

MCQ▾

Question

The unit vector perpendicular to the surface x2+y2+z2=3 at the point (1, 1,1) is –

Choices

Choice (4) Response

a.

x^+y^z^3

b.

x^+y^+z^3

c.

x^y^z^3

d.

x^y^+z^3

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