GATE Physics: Questions 3 - 5 of 290

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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) F1=Kexp(r2R2)r^

(ii) F2=K(x3y^y3z^)

(iii) F3=K(x3x^+y3y^)

(iv) F4=K(ϕ^r)

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 R at a temperature T is P1 . Let P2 be the total power emitted by another spherical black body of radius R2 kept at temperature 2T . The ratio P1P2 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 d2ydt2y=0

Subject to the boundary condition y(0)=1 and y()=0 , is –

Choices

Choice (4) Response

a.

cost+sint

b.

coshtsinht

c.

cosht+sinht

d.

costsint

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