Home
Class 12
PHYSICS
The bob of a pendulum of length l is pul...

The bob of a pendulum of length l is pulled aside from its equilibrium position through an angle `theta` and then released. The bob will then pass through its equilibrium position with a speed v, where v equals

A

`sqrt(2gl)`

B

`sqrt(2gl(1+ "cos" theta))`

C

`sqrt(2gl(1-"cos" theta))`

D

`sqrt(2gl(1+"sin" theta))`

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(2) mv^(2)=mgh=mgl (1-"cos" theta)`
`therefore v=sqrt(2gl (1-"cos" theta))`
Promotional Banner

Topper's Solved these Questions

  • MAGNETISM

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|15 Videos

  • ROTATIONAL MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 3|8 Videos

Similar Questions

Explore conceptually related problems

The bob of pendulum of length l is pulled aside from its equilibrium position through an angle theta and then released. Find the speed v with which the bob passes through the equilibrium position.

The mass of a simple pendulum bob is 100 gm. The length of the pendulum is 1 m. The bob is drawn aside from the equilibrium position so that the string makes an angle of 60^(@) with the vertical and let go. The kinetic energy of the bob while crossing its equilibrium position will be

A pendulum is displaced to an angle theta from its equilibrium position, then it will pass through its mean position with a velocity v equal to

A mass at the end of a spring executes harmonic motion about an equilibrium position with an amplitude A.Its speed as it passes through the equilibrium position is V.If extended 2A and released, the speed of the mass passing through the equilibrium position will be

A simple pendulum of length 1m has bob of mass 100 g. It is displaced through an angle of 60^@ from the vertcal and then released. The kinetic energy of bob when it passes through the mean position is

A simple pendulum of length l and bob of mass m is displaced from its equilibrium position O to a position P so that hight of P above O is h . If is then released. What is the tension in the string when the bob passes through the through the equilibrium position O ? Neglect friction. v is the velocity of the bob at O

The bob of a simple pendulum of length L, is displaced through 90^(@) , from its mean position and then released. What will be the tension in the string when the bob of mass m will be at its lowest position?

The bob of a simple pendulum of length L, is displaced through 90^(@) , from its mean position and then released. What will be the tension in the string when the bob of mass m will be its lowest position ?

MARVEL PUBLICATION-OSCILLATIONS-MCQ
  1. If a simple pendulum oscillates with an amplitude of 50 mm and time pe...

    Text Solution

    |

  2. What is the percentage change in the periodic time of a simple pendulu...

    Text Solution

    |

  3. The bob of a pendulum of length l is pulled aside from its equilibrium...

    Text Solution

    |

  4. The periodic time of a simple pendulum is 3 sec. The mass of its hollo...

    Text Solution

    |

  5. the period of a simple pendulum in a stationary lift is 3 sec. If the ...

    Text Solution

    |

  6. A wall clock regulated by a seconds pendulum goes slow by 20 second pe...

    Text Solution

    |

  7. A simple pendulum of length L is suspended from the roof of a train. I...

    Text Solution

    |

  8. The period of a simple pendulum suspended from the ceiling of a car is...

    Text Solution

    |

  9. The bob of a simple pendulum goes from one extremity to another extrem...

    Text Solution

    |

  10. The acceleration due to gravity at a place changes from 9.8 m//s^(2) "...

    Text Solution

    |

  11. If a simple pendulum oscillates with an amplitude of 50 mm and time pe...

    Text Solution

    |

  12. A second's pendulum is mounted in a rocket. Its period of oscillation ...

    Text Solution

    |

  13. As pendulum clock gives correct time at the equator, Will it gain time...

    Text Solution

    |

  14. A simple pendulum executing S.H.M. is falling freely along with the su...

    Text Solution

    |

  15. The length of a simple pendulum is increased by 1%. Its time period wi...

    Text Solution

    |

  16. A simple pendulum with a bob of mass m oscillates from A to C and back...

    Text Solution

    |

  17. The periodic time of a simple pendulum is 6.28 sec and the amplitude o...

    Text Solution

    |

  18. The time period of a simple pendulum measured inside a stationary lift...

    Text Solution

    |

  19. The time period of a simple pendulum inside a stationary lift is sqrt(...

    Text Solution

    |

  20. A body falling freely on a planet covers 18 m in 3 s. What is the time...

    Text Solution

    |