# Classical Mechanics-Small Oscillations and Normal Modes (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 5 of 13

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## Question number: 1

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2014

### Write in Short

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

## Question number: 2

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2016

### Write in Short

Two blocks are connected by a spring of spring constant . One block has mass and the other block has mass . If the ratio , the angular frequency of vibration of the two block spring system in is . (Give your answer up to two decimal places)

## Question number: 3

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2014

### Write in Short

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

( 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, . The particle is found to be in stable equilibrium at the point . The time period of oscillation of the particle is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 5

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2011

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

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