Home
Class 12
PHYSICS
A pendulum has a period T for small osci...

A pendulum has a period `T` for small oscillations. An obstacle is placed directly beneath the pivot, so that only the lowest one - quarter of the string can follow the pendulum bob when it swings to the left of its resting position. The pendulum is released from rest at a certain point. How long will it take to return to that point again ? In answering this question, you may assume that the angle between the moving string and the vertical stays small throughout the motion.

A

T

B

`(T)/(2)`

C

`(3T)/(4)`

D

`(T)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION-C )|11 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION -D( Comprehension) )|3 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION -A)|58 Videos
  • NUCLEI

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-D)|10 Videos
  • PHYSICAL WORLD

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (Section-B)|4 Videos

Similar Questions

Explore conceptually related problems

A pendulum is oscillaring on either side its rest position.The correct statement is:

A pendulum has time period T for small oscillations. An obstacle P is situated below the point of suspension O at a distance (3l)/4 . The pendulum is released from rest. Throughout the motion, the moving string makes small angle with vertical. Time after which the pendulum returns back to its initial position is

A simple pendulum consisting of a mass M attached to a string of length L is released from rest at an angle alpha . A pin is located at a distance l below the pivot point. When the pendulum swings down, the string hits the pin as shown in figure. The maximum angle theta which the string makes with the vertical after hitting the pin is

It takes 0.2 s for a pendulum bob to move from the mean position to one end. What is the time period of the pendulum?

A pendulum is oscillating on either side of its rest position. Explain the energy changes that take place in the Oscillating pendulum. How does mechanical energy remain constant in it ? Draw the necessary diagram.

A simple pendulum is released from rest with the string in horizontal position. The vertical component of the velocity of the bob becomes maximum, when the string makes an angle theta with the vertical. The angle theta is equal to

A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob.what is the maximum displacement of the pendulum with respect to the vertical

When the point of suspendion of pendulum is moved, its period of oscillation

In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. The string breaks when it makes an angle theta with the vertical.

In a simple pendulum the period of oscillation (T) is related to the length of the pendulum (L) as

AAKASH INSTITUTE ENGLISH-OSCILLATIONS-ASSIGNMENT (SECTION-B )
  1. If a bob of mass 'm' is attached as shown in figure. When displaced , ...

    Text Solution

    |

  2. A particle of mass 4 kg moves along x axis, potential energy ( U ) va...

    Text Solution

    |

  3. A block of mass m kg hanging from a verticla spring executes simple ha...

    Text Solution

    |

  4. A small block of mass 2 kg is placed on a bigger block of mass 4 kg wh...

    Text Solution

    |

  5. A simple harmonic motino has amplitude A and time period T. The maxm...

    Text Solution

    |

  6. If a ball is dropped from height 2 metre on a smooth eleastic floor, ...

    Text Solution

    |

  7. A particle moves in a circular path with a uniform speed. Its motion i...

    Text Solution

    |

  8. The average acceleration in one time period in a simple harmonic motio...

    Text Solution

    |

  9. A block of mass 1 kg is placed inside a car of mass 5 kg , as shown . ...

    Text Solution

    |

  10. A car is moving on a horizontal road with constant acceleration 'a' . ...

    Text Solution

    |

  11. If a particle is executing S.H.M. then the graph between its accelera...

    Text Solution

    |

  12. A particle moves along x-axis according to relation x= 1+2 sin omegat....

    Text Solution

    |

  13. In a S.H.M. with amplitude 'A', what is the ratio of K.E. and P.E. at ...

    Text Solution

    |

  14. Whatis the displacement equation of S.H.M. with an amplitude 2m , if 1...

    Text Solution

    |

  15. A simple pendulum of mass 'm' , swings with maximum angular displaceme...

    Text Solution

    |

  16. If P.E. of a system is given by relation U= (A)/(x^(2))-(B)/(x), wher...

    Text Solution

    |

  17. If displacement time equation of an S.H.M. isx= sin . (pit)/(6) , then...

    Text Solution

    |

  18. If a particle executres S.H.M. with time period 4 s when magnitude of ...

    Text Solution

    |

  19. A pendulum has a period T for small oscillations. An obstacle is place...

    Text Solution

    |

  20. One end of a long metallic wire of length L is tied to the ceiling. Th...

    Text Solution

    |