Mathematical Methods of Physics (CSIR Physical Sciences): Questions 48 - 50 of 67

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Question number: 48

» Mathematical Methods of Physics » Finite Difference Methods

Appeared in Year: 2013

MCQ▾

Question

The solution of the differential equation dxdt=x2 with the initial condition x(0)=1 will blow up as t tends to – (June – 2013)

Choices

Choice (4) Response

a.

12

b.

2

c.

1

d.

Question number: 49

» Mathematical Methods of Physics » Fourier and Laplace Transforms

Appeared in Year: 2013

MCQ▾

Question

The Fourier transform of the derivative of the Dirac δ function, namely δ(x) , is proportional to – (Dec -2013)

Choices

Choice (4) Response

a.

sink

b.

ik

c.

1

d.

0

Question number: 50

» Mathematical Methods of Physics » Solution of First Order Differential Equation Using RungeKutta Method

Appeared in Year: 2013

MCQ▾

Question

The solution of the partial differential equation,

2t2u(x,t)2x2u(x,t)=0

Satisfying the boundary conditions u(0,t)=0=u(L,t) and initial conditions u(x,0)=sin(πxL) and tu(x,t) t=0=sin(2πxL) is – (June)

Choices

Choice (4) Response

a.

sin(πxL)cos(2πtL)+Lπsin(2πxL)sin(πtL)

b.

sin(πxL)cos(πtL)+L2πsin(2πxL)sin(2πtL)

c.

sin(πxL)cos(πxL)+L2πsin(2πxL)cos(2πtL)

d.

2sin(πxL)cos(πtL)sin(πxL)cos(2πtL)

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