Home
Class 11
PHYSICS
A particle is SHM is discribed by the di...

A particle is `SHM` is discribed by the displacement function `x(t) = a cos (omegat + theta)` If the initial `(t = 0)` position of the particle `1cm` and its initial velocity is `picm//s` The angular frequency of the particle is `pi rad//s`, then its amplitude is

A

1 cm

B

`sqrt2 cm`

C

2 cm

D

2.5 cm

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise simple pendulum|61 Videos

  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise spring pendulum|55 Videos

  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise Energy of simple Harmonic motion|34 Videos

  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on motion of connected mass)|10 Videos

  • SURFACE TENSION

    ERRORLESS |Exercise Exercise|214 Videos

Similar Questions

Explore conceptually related problems

A particle is SHM is discribed by the displacement function x(t) = a cos (Delta omega + theta) If the initial (t = 0) position of the particle 1cm and its initial velocity is picm//s The angular frequency of the particle is pi rad//s , then its amplitude is

A particles is SHM is described by the displacement function x(t)= a cos (omegat+theta). If the initinal (t=0) position of the particle is 1 cm and its initinal velcotiy is pi cm//s. The angular frequncy of the particle is pi rad//s . Then is amplitude is

A particle executing SHM is described by the displacement function x(t)=Acos(omegat+phi) , if the initial (t=0) position of the particle is 1 cm, its initial velocity is pii" cm "s^(-1) and its angular frequency is pis^(-1) , then the amplitude of its motion is

A particle is SHM is described by the displacement function. x = A cos(omega t + phi), "where," omega = 2pi//T If the initial (t = 0) position of the particle is 1 cm and its initial velocity is pi cms^(-1) , what is the initial phase angle ? The angular frequency of the particle is pi s^(-1) .

The motion of a particle in S.H.M. is described by the displacement function, x=Acos(omegat+phi) , If the initial (t=0) position of the particle is 1cm and its initial velocity is omega cm s^(-1) , what are its amplitude and initial phase angle ? The angular frequency of the particle is pis^(-1) . If instead of the cosine function, we choos the sine function to describe the SHM : x=B sin(omegat+alpha) , what are the amlitude and intial phase of the particle with the above intial conditions ?

The displacement of a particle in S.H.M. is given by x= B "sin" (omega t + alpha) . The initial position (at time t=0), of the particle is the initial phase angle if the angular frequency of the particle is pi rad//s ?

A particle is performing a linear S.H.M. If at time t=0, its displacement is 1 cm, its velocity is pi cm//sec and its angular frequency is pi rad//s , then the amplitude of its motions is

A particle is executing SHM given by x = A sin (pit + phi) . The initial displacement of particle is 1 cm and its initial velocity is pi cm//sec . Find the amplitude of motion and initial phase of the particle.

The displacement of a particle in S.H.M. is given by x=A "cos" (omegat+ phi) At time t=0, x=1 cm, initial velocity =pi cm//s and angular frequency is pi per second. What is the amplitude of SHM ?

ERRORLESS -SIMPLE HARMONIC MOTION-Time period and frequency
  1. A particle moves such that its acceleration a is given by a = -bx , wh...

    Text Solution

    |

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

    Text Solution

    |

  3. A tunnel has been dug through the centre of the earth and a ball is r...

    Text Solution

    |

  4. The maximum speed of a particle executing S.H.M. is 1 m/s and its maxi...

    Text Solution

    |

  5. The motion of a particle executing S.H.M. is given by x= 0.01 sin 100 ...

    Text Solution

    |

  6. The kinetic energy of a particle executing SHM is 16J. When it is in i...

    Text Solution

    |

  7. The acceleration of a particle performing S.H.M. is 12 cm // sec^(2) ...

    Text Solution

    |

  8. To make the frequency double of an oscillator, we have to

    Text Solution

    |

  9. What is constant in S.H.M.

    Text Solution

    |

  10. If a simple harmonic oscillator has got a displacement of 0.02m and ac...

    Text Solution

    |

  11. The equation of a simple harmonic motion is X=0.34 cos (3000t+0.74) wh...

    Text Solution

    |

  12. Mark the wrong statement

    Text Solution

    |

  13. A particle is SHM is discribed by the displacement function x(t) = a c...

    Text Solution

    |

  14. A particle executes SHM in a line 4 cm long. Its velocity when passing...

    Text Solution

    |

  15. The displacement x (in metre ) of a particle in, simple harmonic motio...

    Text Solution

    |

  16. A simple harmonic wave having an amplitude a and time period T is repr...

    Text Solution

    |

  17. A particle executing simple harmonic motion of amplitude 5 cm has maxi...

    Text Solution

    |

  18. The displacement x(in metres) of a particle performing simple harmonic...

    Text Solution

    |