GATE (Graduate Aptitude Test in Engineering) Physics: Questions 59 - 63 of 659

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Question 59

Appeared in Year: 2015

Question

MCQ▾

A function satisfies the ordinary differential equation , where Consider the four statements P, Q, R, S as given below.

P: and are linearly independent solution for all values of

Q: and are linearly independent solution for all values of

R: and 1 are linearly independent solution for

S: and are linearly independent solution for all values of

The correct option for the combination of valid statements is –

Choices

Choice (4)Response

a.

Q and R

b.

P and R

c.

R and S

d.

P, R and S

Question 60

Edit

Appeared in Year: 2015

Write in Short

Short Answer▾

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 61

Appeared in Year: 2015

Write in Short

Short Answer▾

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

(Mass of electron )

Question 62

Appeared in Year: 2016

Question

MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Question 63

Appeared in Year: 2016

Write in Short

Short Answer▾

The magnitude of the magnetic dipole moment associate with a square shaped loop carrying a steady current is . If this loop is changed to a circular shape with the same current passing it, the magnetic moment becomes . The value of is ________.

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