Home
Class 12
PHYSICS
A particle of mass m undergoes oscillati...

A particle of mass m undergoes oscillations about x = 0 in a potential given by `V(x)=(1)/(2)kx^(2)-v_(0)cos((x)/(a))`, where `V_(0)`,K,a are constants. If the amplitude of oscillation is much smaller than a, the time period is given by-

A

`2pisqrt((ma^(2))/(ka^(2)+V_(0)))`

B

`2pisqrt((m)/(k))`

C

`2pisqrt((ma^(2))/(V_(0)))`

D

`2pisqrt((ma^(2))/(ka^(2)-V_(0)))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KVPY 2021

    KVPY PREVIOUS YEAR|Exercise PART I (Chemistry)|2 Videos

Similar Questions

Explore conceptually related problems

A particle of mass (m) is executing oscillations about the origin on the (x) axis. Its potential energy is V(x) = k|x|^3 where (k) is a positive constant. If the amplitude of oscillation is a, then its time period (T) is.

A particle of mass m is executing oscillation about the origin on X- axis Its potential energy is V(x)=kIxI Where K is a positive constant If the amplitude oscillation is a, then its time period T is proportional

A particle of mass m is located in a potential field given by U (x) = U_(o) (1-cos ax) where U_(o) and a are constants and x is distance from origin. The period of small oscillations is

A particle of mass m in a unidirectional potential field have potential energy U(x)=alpha+2betax^(2) , where alpha and beta are positive constants. Find its time period of oscillations.

A body of mass m is situated in a potential field U(x) = V_(0)(1-cos ax) when U_(0) and alpha are constants. Find the time period of small oscillations.

The potential energy of a particle of mass 'm' situated in a unidimensional potential field varies as U(x) = U_0 [1- cos((ax)/2)] , where U_0 and a are positive constant. The time period of small oscillations of the particle about the mean position-

The potential energy of a peticle of mass 'm' situated in a unidimensional potential field varies as U(x) = 0 [1 - cos ax] , where U_(0) and a are constants. The time period of small oscillations of the particle about the mean positions is :

KVPY PREVIOUS YEAR-KVPY-All Questions
  1. Consider the infinite ladder circuit shown below. For which angul...

    Text Solution

    |

  2. A narrow parallel beam of light falls on a glass sphere of radius R an...

    Text Solution

    |

  3. A particle of mass m undergoes oscillations about x = 0 in a potential...

    Text Solution

    |

  4. An ideal gas with heat capacity at constant volume C(V) undergoes a qu...

    Text Solution

    |

  5. An ideal gas with constant heat capacity C(V)=(3)/(2)nR is made to car...

    Text Solution

    |

  6. At time t = 0, a container has N(0) radioactive atoms with a decay con...

    Text Solution

    |

  7. A simple pendulum oscillates freely between points A and B. We now ...

    Text Solution

    |

  8. A small child tries to moves a large rubber toy placed on the ground. ...

    Text Solution

    |

  9. A juggler tosses a ball up in the air with initial speed u. At the ins...

    Text Solution

    |

  10. On a horizontal frictionless frozen lake, a girl (36 kg) and a box (9 ...

    Text Solution

    |

  11. The following three objects (1) a metal tray, (2) a block of wood, and...

    Text Solution

    |

  12. We sit in the room with windows open. Then

    Text Solution

    |

  13. A girl standing at point P on a beach wishes to reach a point Q in the...

    Text Solution

    |

  14. Light enters an isosceles right triangular prism at normal incidence t...

    Text Solution

    |

  15. A convex lens is used to form an image of an object on a screen. If th...

    Text Solution

    |

  16. A cylindrical copper rod has length L and resistance R. If it is melte...

    Text Solution

    |

  17. Two charges +Q " and " -2Q are located at points A and B on a horizon...

    Text Solution

    |

  18. A 750 W motor drivers a pump which lifts 300 litres of water per minut...

    Text Solution

    |

  19. Figure below shows a portion of an electric circuit with the currents ...

    Text Solution

    |

  20. A nucleus of lead Pb(82)^(214) emits two electrons followed by an alph...

    Text Solution

    |