# GATE (Graduate Aptitude Test in Engineering) Physics: Questions 4 - 8 of 659

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## Question 4

Appeared in Year: *2016*

### Write in Short

Short Answer▾The total power emitted by a spherical black body of radius at a temperature is . Let be the total power emitted by another spherical black body of radius kept at temperature . The ratio is ________. (Give your answer up to two decimal places)

## Question 5

Appeared in Year: *2014*

### Question

MCQ▾The solution of the differential equation

Subject to the boundary condition and , is –

### Choices

Choice (4) | Response | |
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## Question 6

Appeared in Year: *2016*

### Write in Short

Short Answer▾The entropy of a system of spins, which may align either in the upward or in the downward direction, is given by . Here, is the Boltzmann constant. The probability of alignment in the upward direction is . The value of , at which the entropy is maximum is (Give your answer up to one decimal place)

## Question 7

Appeared in Year: *2014*

### Question

MCQ▾The recoil momentum of an atom is when it emits an infrared photon of wavelength , and it is when it emits a photon of visible wavelength . The ratio is –

### Choices

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## Question 8

Appeared in Year: *2015*

### Question

MCQ▾Consider a system of N non – interacting spin particles, each having a magnetic moment , is in a magnetic field . If is the total energy of the system, the number of accessible microstates is given by,

### Choices

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