Home
Class 12
PHYSICS
A particle executes simple harmonic moti...

A particle executes simple harmonic motion according to equation `4(d^(2)x)/(dt^(2)) + 320x = 0`. Its time period of oscillation is

A

`(2pi)/(5sqrt(3))s`

B

`(pi)/(3sqrt(2))s`

C

`(pi)/(2sqrt(5))s`

D

`(2pi)/(sqrt(3))s`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (Oscillations) (Energy & spring pendulum)|17 Videos
  • RACE

    ALLEN|Exercise Basic Maths (Oscillations) (Simple pendulum and types of SHM)|17 Videos
  • RACE

    ALLEN|Exercise Basic Maths (Thermal Physics) (Thermodynamic process)|20 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

If a simple harmonic motion is represented by (d^(2)x)/(dt^(2)) + alphax = 0 , its time period is :

The maximum velocity of a particle, excuting simple harmonic motion with an amplitude 7 mm , is 4.4 m//s The period of oscillation is.

The maximum velocity of a particle executing simple harmonic motion is v. If the amplitude is doubled and the time period of oscillation decreased to 1/3 of its original value the maximum velocity becomes

A particle executes simple harmonic motion of period 16 s . Two seconds later after it passes through the center of oscillation its velocity is found to be 2 m//s . Find the amplitude.

Position-time relationship of a particle executing simple harmonic motion is given by equation x=2sin(50pit+(2pi)/(3)) where x is in meters and time t is in seconds. What is the position of particle at t=0 ?

Position-time relationship of a particle executing simple harmonic motion is given by equation x=2sin(50pit+(2pi)/(3)) where x is in meters and time t is in seconds. What is the position of particle at t=0.5s ?

The instantaneous displacement x of a particle executing simple harmonic motion is given by x=a_1sinomegat+a_2cos(omegat+(pi)/(6)) . The amplitude A of oscillation is given by

A particle is executing simple harmonic motion. Its total energy is proportional to its

A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one part is used to continue the simple harmonic motion, the time period will

A particle of mass 0.50 kg executes a simple harmonic motion under a force F=-(50Nm^-1)x . If it crosses the centre of oscillation with a speed of 10ms^-1 , find the amplitude of the motion.

ALLEN-RACE-Basic Maths (Dscillations) (Kinematics of SHM)
  1. Two particles executing SHM of same frequency meet at x=+(sqrt(3)A)/(2...

    Text Solution

    |

  2. A particle is executing SHM with time period T. Starting from mean pos...

    Text Solution

    |

  3. A particle executes simple harmonic motion according to equation 4(d^(...

    Text Solution

    |

  4. The plot of velocity (v) versus displacement (x) of a particle executi...

    Text Solution

    |

  5. Figure shows the position -time graph of an object in SHM. The correct...

    Text Solution

    |

  6. A particle executes SHM according to equation x= 10 (cm) cos [2pi t + ...

    Text Solution

    |

  7. A particle of mass m in a unidirectional potential field have potentia...

    Text Solution

    |

  8. A particle executing simple harmonic motion has angular frequence 6.28...

    Text Solution

    |

  9. A body makes angular simple harmonic motion of amplitude pi//10rad and...

    Text Solution

    |

  10. The vertical motion of a ship at sea is described by the equation (d^2...

    Text Solution

    |

  11. The equation of motion of a particle of mass 1g is (d^(2)x)/(dt^(2)) +...

    Text Solution

    |

  12. The time taken by a particle performing SHM to pass from point A and B...

    Text Solution

    |

  13. The phase difference between two SHM y(1) = 10 sin (10 pi t + (pi)/(3)...

    Text Solution

    |

  14. A small mass executes SHM around a point O with amplitude A & time per...

    Text Solution

    |

  15. Two SHM are represcnted by equations y(1)=6cos(6pit+(pi)/(6)),y(2)=3(s...

    Text Solution

    |

  16. The phase difference between displacement and acceleration of particle...

    Text Solution

    |

  17. The acceleration of a particle moving along x-axis is a=-100x+50. It i...

    Text Solution

    |

  18. The acceleration of a certain simple harmonic oscillator is given by ...

    Text Solution

    |

  19. A particle executes simple harmonic motion with a time period of 16 s ...

    Text Solution

    |

  20. Two particles P and Q describe S.H.M. of same amplitude a, same freque...

    Text Solution

    |