Classical Mechanics-Small Oscillations and Normal Modes (GATE Physics): Questions 1 - 5 of 6

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Question number: 1

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2014

Short Answer Question▾

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Two masses m and 3m are attached to the two ends of a massless spring with force constant K. If m=100g and K=0.3Nm , then the natural angular frequency of oscillation is ________ Hz.

Question number: 2

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2016

Short Answer Question▾

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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: 3

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2014

Short Answer Question▾

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At a given temperature, T, the average energy per particle of a non – interacting gas of two – dimensional classical harmonic oscillators is ________ kBT .

( kB is the Boltzmann constant).

Question number: 4

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2012

MCQ▾

Question

A particle of unit mass moves along the X – axis under the influence of a potential, V(x)=x(x2)2 . The particle is found to be in stable equilibrium at the point x=2 . The time period of oscillation of the particle is –

Choices

Choice (4) Response
a.

π

b.

π2

c.

3π2

d.

2π

Question number: 5

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2011

MCQ▾

Question

The bodies of mass m and 2m are connected by a spring of spring constant k . The frequency of the normal mode is

Choices

Choice (4) Response
a.

2k3m

b.

km

c.

3k2m

d.

k2m

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