GATE Physics: Questions 40 - 42 of 290

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Question number: 40

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2016

Short Answer Question▾

Write in Short

Two blocks are connected by a spring of spring constant k . One block has mass m and the other block has mass 2m . If the ratio km=4s2 , the angular frequency of vibration ω of the two block spring system in s1 is _ . (Give your answer up to two decimal places)

Question number: 41

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2015

MCQ▾

Question

The average energy U of a one dimensional quantum oscillator of frequency ω and in contact with a heat bath at temperature T is given by,

Choices

Choice (4) Response

a.

U=12ωcosh(12βω)

b.

U=12ωsinh(12βω)

c.

U=12ωtanh(12βω)

d.

U=12ωcoth(12βω)

Question number: 42

» Electromagnetic Theory » Electromagnetic Waves and Their Reflection

Appeared in Year: 2014

MCQ▾

Question

A particle of mass m is in a potential given by, V(r)=a4+ar023r3

Where a and r0 are positive constants. When disturbed slightly from its stable equilibrium position, it undergoes a simple harmonic oscillation. The time period of oscillation is –

Choices

Choice (4) Response

a.

2π2mr03a

b.

2πmr03a

c.

2πmr032a

d.

4πmr03a

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