GATE Physics: Questions 60 - 63 of 323

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 323 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 60

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2015

MCQ▾

Question

A function y(z) satisfies the ordinary differential equation y+1zym2z2y=0 , where m=0,1,2,3 Consider the four statements P, Q, R, S as given below.

P: Zm and Zm are linearly independent solution for all values of m

Q: Zm and Zm are linearly independent solution for all values of m>0

R: lnZ and 1 are linearly independent solution for m=0

S: Zm and lnZ are linearly independent solution for all values of m

The correct option for the combination of valid statements is –

Choices

Choice (4) Response

a.

P, R and S

b.

Q and R

c.

P and R

d.

R and S

Question number: 61

» Classical Mechanics » Rigid Body Motion

Appeared in Year: 2015

Short Answer Question▾

Write in Short

In a rigid – rotator of mass M, if the energy of the first excited state is 1 MeV, then the fourth excited state energy (in MeV) is ________

Question number: 62

» Thermodynamics and Statistical Physics » Degenerate Fermi Gas

Appeared in Year: 2015

Short Answer Question▾

Write in Short

Given that the Fermi energy of gold is 5.54eV , the number density of electrons is ________ ×1028m3 (up to one decimal place)

(Mass of electron =9.11×1031kg;h=6.626×1034Js;1eV=1.6×1019J )

Question number: 63

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2016

MCQ▾

Question

Which of the following magnetic vector potentials gives rise to a uniform magnetic field B0k^ ?

Choices

Choice (4) Response

a.

B0zk^

b.

B0xj^

c.

B02(yi^+xj^)

d.

B02(yi^+xj^)

Sign In