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

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

    AAKASH INSTITUTE ENGLISH|Exercise EXAMPLE|21 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

The time period of small oscillations of mass m :-

Assume that as narrow tunnel is dug between two diametrically opposite points of the earth. Treat the earth as a solid sphere of uniform density. Show that if a particle is released in this tunnel, it will execute a simple harmonic motion. Calculate the time period of this motion.

A particle in a circular path speeds up with a uniform rate between two diametrically opposite points of a circle of radius R . If its time of motion between these two points is equal to T , find the accelertaion of the particle averaged over the time T .

The variation of force (F) acting on a particle of mass 800 g with position (x) is as shown in figure. The time period of oscillation of the particles is

A body of mass m is suspended from three springs as shown in figure. If mass m is displaced slightly then time period of oscillation is

A particle undergoes S.H.M. having time period T . The time taken in 3 /8th oscillation is

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 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.

Two particles A and B , each carrying charge Q are held fixed with a separation D between them. A particle C having mass m and charge q is kept at the middle point of the line AB. If particle C is displaced through a distance x along the line AB. What will be the time period of the oscillations.

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in the figure. The time period of oscillation is

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

    Text Solution

    |

  2. The phase difference between the instantaneous velocity and accelerati...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The potential energy of a particle of mass 0.1 kg , moving along the X...

    Text Solution

    |

  7. A simple harmonic motion is represented by : y=5(sin3pit+sqrt(3)cos3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. A uniform solid sphere of mass m and radius R is suspended in vertical...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. In case of damped oscillation frequency of oscillation is

    Text Solution

    |

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

    Text Solution

    |

  16. Which of the following equation represents damped oscillation?

    Text Solution

    |

  17. In case of damped oscillation frequency of oscillation is

    Text Solution

    |

  18. Resonsance is a special case of

    Text Solution

    |