Home
Class 12
PHYSICS
Two smooth tunnels are dug from one side...

Two smooth tunnels are dug from one side of earth's surface to the other side, one along a diameter are dropped from one end of each of the tunnels. Both time particles oscillate simple harmonically along the tunnels. Let `T_(1)` and `T_(2)` be the particle along the diameter and along the chord respectively. Then:

A

`T_(1)=T_(2)`

B

`T_(1) gt T_(2)`

C

`v_(1)=v_(2)`

D

`v_(1) gt v_(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    FIITJEE|Exercise Numerical based Question|2 Videos

  • GRAVITATION

    FIITJEE|Exercise Assigment problems (Objective) (level-I) Assertion & Reasoning type|2 Videos

  • GMP ASSESMENT

    FIITJEE|Exercise Numerical Based|61 Videos

  • HEAT AND TEMPERATURE

    FIITJEE|Exercise NUMERICAL BASES QUESTIONS|1 Videos

Similar Questions

Explore conceptually related problems

If a smooth tunnel is dug across a diameter of earth and a particle is released from the surface of earth, the particle oscillate simple harmonically along it Time period of the particle is not equal to

If a smooth tunnel is dug across a diameter of earth and a particle is released from the surface of earth, the particle oscillate simple harmonically along it Maximum speed of the particle is

A tunnel is dug through the centre of the earth. Shwo that a body of mass m when dropped form rest from one end of the tunnel will execute simple harmonic motion.

Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point a distance h directly above the tunnel. The motion of the particle as seen from the earth is

If a tunnel is dug along the diameter of the earth and a ball is dropped into the tunnel, it will have

Two tunnels - T_(1) " and " T_(2) are dug across the earth as shown in figure. One end of the two tunnels have a common meeting point on the surface of the earth. Two particles P_(1) " and " P_(2) are oscillating from one end to the other end of the tunnels. At some instant particles are at mid point of their tunnels as shown in figure. Then - (a) Write phase difference between the particle P_(1) " and " P_(2) . Can the two particles ever meet? (b) Write the ratio of maximum velocity of particle P_(1) " and " P_(2) .

A smooth tunnel is dug along the radius of the earth that ends at the centre. A ball is released from the surface of earth along the tunnel. If the coefficient of restitution is 0.2 between the surface and ball, then the distance travelled by the ball before second collision at the centre 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.

If a tunnel is dug along the diameter of earth and a piece of stone is dropped into it, then the stone will

A tunnel is dug along a chord of the earth at a perpendicular distance R//2 from the earth's centre. The wall of the tunnel may be assumed to be frictionless. A particle is released from one end of the tunnel. The pressing force by the particle on the wall, and the acceleration of the particle vary with x (distance of the particle from the centre) according to

FIITJEE-GRAVITATION-Assigment problems (Objective) (level-II)
  1. An object is weighted at the North Pole by a beam balance and a spring...

    Text Solution

    |

  2. Let omega be the angular velocity of the earth's rotation about its ax...

    Text Solution

    |

  3. Let omega be the angular velocity of the earth's rotation about its ax...

    Text Solution

    |

  4. A double star is a system of two stars of masses m and 2m, rotating ab...

    Text Solution

    |

  5. Three point masses are at the corners of an equilateral traingle of si...

    Text Solution

    |

  6. A planet is revolving around the sun in an elliptical orbit. Which out...

    Text Solution

    |

  7. The escape velocity for a planet is ve. A particle starts from rest at...

    Text Solution

    |

  8. The escape velocity for a planet is ve. A particle is projected from i...

    Text Solution

    |

  9. If a satellite orbits as close to the earth's surface as possible,

    Text Solution

    |

  10. For a satellite to orbit around the earth, which of the following must...

    Text Solution

    |

  11. A satellite is to be geo-stationary, which of the following are essent...

    Text Solution

    |

  12. Two small satellies move in a circular orbits around the earth, at dis...

    Text Solution

    |

  13. Let S be an imaginary closed surface enclosing mass m. Let dvecS be an...

    Text Solution

    |

  14. A small mass m is moved slowly from the surface of the earth to a heig...

    Text Solution

    |

  15. A solid sphere of uniform density and radius 4 units is located with i...

    Text Solution

    |

  16. Consider a planet moving in an elliptical orbit around the Sun. The wo...

    Text Solution

    |

  17. Suppose universal gravitational constant starts to decrease, then

    Text Solution

    |

  18. Two smooth tunnels are dug from one side of earth's surface to the oth...

    Text Solution

    |

  19. Two objects of masses m and 4m are at rest at an infinite separation. ...

    Text Solution

    |

  20. Let V and E be the gravitational potential field. Then select the cor...

    Text Solution

    |