GATE (Graduate Aptitude Test in Engineering) Physics: Questions 3 - 6 of 659

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Question number: 3

» Classical Mechanics » Conservation Laws

Appeared in Year: 2015

MCQ▾

Question

Four forces are given below in Cartesian and spherical polar coordinates.

(i)

(ii)

(iii)

(iv)

Where K is a constant. Identify the correct option.

Choices

Choice (4) Response

a.

(i) and (ii) are conservative but (iii) and (iv) are not

b.

(ii) and (iii) are conservative but (i) and (iv) are not

c.

(iii) and (iv) are conservation but (i) and (ii) are not

d.

(i) and (iii) are conservative but (ii) and (iv) are not

Question number: 4

» Thermodynamics and Statistical Physics » Black-Body Radiation and Planck's Distribution Law

Appeared in Year: 2016

Short Answer Question▾

Write in Short

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 number: 5

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2014

MCQ▾

Question

The solution of the differential equation

Subject to the boundary condition and , is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 6

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2016

Short Answer Question▾

Write in Short

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)

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