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

Access detailed explanations (illustrated with images and videos) to **659** questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. *Unlimited Access, Unlimited Time, on Unlimited Devices*!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

How to register? Already Subscribed?

## 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

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 ________.