Mathematical Methods of Physics-Partial Differential Equations (CSIR Physical Sciences): Questions 1 - 3 of 3

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 401 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

Question number: 1

» Mathematical Methods of Physics » Partial Differential Equations

Appeared in Year: 2013

MCQ▾

Question

The expression:

(2x12+2x22+2x32+2x42)1(x12+x22+x32+x42)

Is proportional to – (December)

Choices

Choice (4) Response

a.

(x12+x22+x32+x42)32

b.

(x12+x22+x32+x42)2

c.

δ(x1+x2+x3+x4)

d.

δ(x1)δ(x2)δ(x3)δ(x4)

Question number: 2

» Mathematical Methods of Physics » Partial Differential Equations

Appeared in Year: 2012

MCQ▾

Question

The unit normal vector at the point,

(a3,b3,c3)

On the surface of the ellipsoid

x2a2+y2b2+z2c2=1, is – (December)

Choices

Choice (4) Response

a.

bci^+acj^+abk^b2c2+a2c2+a2b2

b.

ai^+bj^+ck^a2+b2+c2

c.

bi^+cj^+ak^a2+b2+c2

d.

bci^+caj^+abk^a2+b2+c2

Question number: 3

» Mathematical Methods of Physics » Partial Differential Equations

Appeared in Year: 2013

MCQ▾

Question

If A=i^yz+j^xz+k^xy , then the integral CAdI

(Where C is along the perimeter of a rectangle area bounded by x=0,x=a and y=0,y=b ) is – (Dec -2013)

Choices

Choice (4) Response

a.

π(a3+b3)

b.

12(a3+b3)

c.

π(ab2+a2b)

d.

0

Sign In