Home
Class 12
PHYSICS
The equation of motion of a particle of ...

The equation of motion of a particle of mass `1g` is `(d^(2)x)/(dt^(2)) + pi^(2)x = 0`, where `x` is displacement (in m) from mean position. The frequency of oscillation is (in Hz)

A

`1/2`

B

`2`

C

`5sqrt(10)`

D

`(1)/(5sqrt(10))`

Text Solution

Verified by Experts

The correct Answer is:
A

`omega^(2) = pi^(2) rArr omega = pi = f = (omega)/(2pi) = (1)/(2)Hz`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise-02|19 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise- 3 Match The Column|1 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos
  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos
  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

The motion of a particle is described by 9(d^(2)x)/(dt^(2))+25x=80 where x is displacement and t is time. Angular frequency of small oscillations of the particle

The motion of a particle executing SHM in one dimension is described by x = -0.5 sin(2 t + pi//4) where x is in meters and t in seconds. The frequency of oscillation in Hz is

Knowledge Check

  • The equation of SHM of a particle is given as 2(d^(2)x)/(dt^(2))+32x=0 where x is the displacement from the mean position. The period of its oscillation ( in seconds) is -

    A
    4
    B
    `(pi)/(2)`
    C
    `(pi)/(2sqrt(2))`
    D
    `2pi`
  • Differential equation for a particle performing linear SHM is given by (d^(2)x)/(dt^(2))+3xx=0 , where x is the displacement of the particle. The frequency of oscillatory motion is

    A
    `(1)/(pisqrt(2))` per sec
    B
    `(sqrt(3))/(2pi)` per sec
    C
    `sqrt((3)/(pi))`
    D
    `(asqrt(2))/(pi)` per sec
  • The acceleration of a simple harmonic oscillator is 1 m//s^(2) when its displacement from mean position is 0.5 m. Then its frequency of oscillation is

    A
    `sqrt(2)pi Hz`
    B
    `pi//sqrt(2)Hz`
    C
    `(1)/(sqrt(2)pi)Hz`
    D
    `(sqrt(2))/(pi)Hz`
  • Similar Questions

    Explore conceptually related problems

    The equation of motion of a particle executing SHM is ((d^2 x)/(dt^2))+kx=0 . The time period of the particle will be :

    The equation of a simple harmonic motion of a particle is (d^(2)x)/(dt^(2)) + 0.2 (dx)/(dt) + 36x = 0 . Its time period is approximately

    The equation of motion of particle is given by (dp)/(dt) +m omega^(2) y =0 where P is momentum and y is its position. Then the particle

    The equation of SHM of a particle is (d^2y)/(dt^2)+ky=0 , where k is a positive constant. The time period of motion is

    The acceleration of a particle in SHM is 0.8ms^(-2) , when its displacement is 0.2m . The frequency of its oscillation is