Home
Class 12
PHYSICS
Imagine a narrow tunnel between the two ...

Imagine a narrow tunnel between the two diametrically opposite points of the earth. A particle of mass m is released in this tunnel . The time period of oscillation is

A

`pi sqrt((R )/(g))`

B

`(pi)/(2) sqrt((R )/(g))`

C

`2pi sqrt((R )/(g))`

D

`(2)/(pi) sqrt((R )/(g))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - A) (OBJECTIVE TYPE QUESTIONS)|60 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - B) (OBJECTIVE TYPE QUESTIONS)|30 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise EXAMPLE|21 Videos
  • NUCLEI

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

    AAKASH INSTITUTE|Exercise ASSIGNMENT (Section-B)|5 Videos

Similar Questions

Explore conceptually related problems

The time period of small oscillations of mass m :-

Asume that as narrow tunnel is dug between two diametricaly opposite points of the earth. Treat the earth as a solid sphere of uniform density. Show that ilf a particle is relesed in this tunel, ilt wil execute a simple harmonic motion. Calculate the time period of this motion.

A tunnel is dug along a diameter of the earth. Find the force on a particle of mass m placed in the tunnel at a distance x from the centre.

A tunnel has been dug through the centre of the earth and a ball is released in it. It executes S.H.M. with time period

a narrow tunnel is dug along the diameter of the earth, and a particle of mass m_(0) is placed at R/2 distance from the centre. Find the escape speed of the particle from that place.

Initial angular velocity of a circular disc of mass M is omega_(1) . Then two small spheres of mass m are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc -

AAKASH INSTITUTE-OSCILLATIONS-Exercise
  1. Which of the following is/are not SHM?

    Text Solution

    |

  2. Particle executing SHM along y-axis has its motion described by the eq...

    Text Solution

    |

  3. A particle moves such that acceleration is given by a= -4x. The period...

    Text Solution

    |

  4. The phase difference between the instantaneous velocity and acce...

    Text Solution

    |

  5. A particle executing SHM along y-axis, which is described by y = 10 "s...

    Text Solution

    |

  6. A particle is executing SHM about y =0 along y-axis. Its position at a...

    Text Solution

    |

  7. A body is executing SHM with amplitude a and time period T. The ratio ...

    Text Solution

    |

  8. The potential energt of a particle of mass 0.1 kg, moving along the x-...

    Text Solution

    |

  9. A simple harmonic motion is represented by : y = 5(sin 3pi t + sqrt(3)...

    Text Solution

    |

  10. A particle of mass 2kg executing SHM has amplitude 20cm and time perio...

    Text Solution

    |

  11. If length of a simple pendulum is increased by 69%, then the percentag...

    Text Solution

    |

  12. A uniform thin ring of radius R and mass m suspended in a vertical pla...

    Text Solution

    |

  13. A second pendulum is moved to moon where acceleration dur to gravity i...

    Text Solution

    |

  14. Imagine a narrow tunnel between the two diametrically opposite points ...

    Text Solution

    |

  15. In the adjacent figure, if the incline plane is smooth and the springs...

    Text Solution

    |

  16. In case of damped oscillation frequency of oscillation is

    Text Solution

    |

  17. In forced oscillations , a particle oscillates simple harmonically wit...

    Text Solution

    |

  18. Which of the following equation represents damped oscillation?

    Text Solution

    |

  19. In case of damped oscillation frequency of oscillation is

    Text Solution

    |

  20. Resonsance is a special case of

    Text Solution

    |