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JEE Main

IMPORTANT

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A block is fastened to a horizontal spring. The block is pulled to a distance $x = 10 cm$ from its equilibrium position (at $x = 0$ ) on a frictionless surface from rest. The energy of the block at $x = 5 cm$ is $0.25 J$ . The spring constant of the spring is ______ $N m^{- 1}$ .

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Important Questions on Oscillations

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Oscillations>JEE Main - 26 August 2021 Shift 2>Q 1

If the length of the pendulum in pendulum clock increases by

0.1 %

, then the error in time per day is:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Oscillations>JEE Main - 27 August 2021 Shift 1>Q 2

The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure.

Question Image

The potential energy $U (x)$ versus time $(t)$ plot of the particle is correctly shown in figure:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Oscillations>JEE Main - 31 August 2021 Shift 1>Q 3

A car is moving on a plane inclined at

30 °

to the horizontal with an acceleration of

10 {m s}^{- 2}

parallel to the plane upward. A bob is suspended by a string from the roof of the car. The angle in degrees which the string makes with the vertical is (Take

g = 10 {m s}^{- 2}

)

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Oscillations>JEE Main - 31 August 2021 Shift 1>Q 4

A particle of mass

1 kg

is hanging from a spring of force constant

100 N m^{- 1} .

The mass is pulled slightly downward and released so that it executes free simple harmonic motion with time period

T .

The minimum time when the kinetic energy and potential energy of the system will become equal, is

\frac{T}{n} .

The value of

n

is ________.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Oscillations>JEE Main - 31 August 2021 Shift 2>Q 5

For a body executing S.H.M. :
(a) Potential energy is always equal to its

K . E .

(b) Average potential and kinetic energy over any given time interval are always equal.
(c) Sum of the kinetic and potential energy at any point of time is constant.
(d) Average

K . E .

in one time period is equal to average potential energy in one time period.
Choose the most appropriate option from the options given below :

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Oscillations>JEE Main - 31 August 2021 Shift 2>Q 6

A bob of mass

m

suspended by a thread of length

ℓ

undergoes simple harmonic oscillations with time period

T .

If the bob is immersed in a liquid that has density

\frac{1}{4}

times that of the bob and the length of the thread is increased by

{(\frac{1}{3})}^{r d}

of the original length, then the time period of the simple harmonic oscillations will be:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Oscillations>JEE Main - 1 September 2021 Shift 2>Q 7

A mass of $5 kg$ is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length $4 m$ has the same period of oscillation as the spring system. What is the value of acceleration due to gravity on the planet where these experiments are performed ?

Question Image

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 11 - Oscillations>JEE Main - 20 July 2021 Shift 2>Q 8

A particle is making simple harmonic motion along the

X

-axis. If at a distances

x_{1}

and

x_{2}

from the mean position the velocities of the particle are

v_{1}

and

v_{2}

, respectively. The time period of its oscillation is given as:

A block is fastened to a horizontal spring. The block is pulled to a distance x=10 cm from its equilibrium position (at x=0) on a frictionless surface from rest. The energy of the block at x=5 cm is 0.25 J. The spring constant of the spring is ______ N m-1.

Important Questions on Oscillations

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A block is fastened to a horizontal spring. The block is pulled to a distance $x = 10 cm$ from its equilibrium position (at $x = 0$ ) on a frictionless surface from rest. The energy of the block at $x = 5 cm$ is $0.25 J$ . The spring constant of the spring is ______ $N m^{- 1}$ .