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
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 » BlackBody Radiation and Planck's Distribution Law
Appeared in Year: 2016
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
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
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)