Home
Class 11
PHYSICS
Consider the earth as a uniform sphere i...

Consider the earth as a uniform sphere if mass `M` and radius `R`. Imagine a straight smooth tunnel made through the earth which connects any two points on its aurface. Show that the motion of a particle of mass m along this tunnel under the action of gravitation would be simple harmonic. Hence, determine the time that a particle would take to go from one end to the other through the tunnel.

Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Advanced Problems For Competitions|20 Videos

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise NCERT EXERCISES WITH SOLUTIONS|19 Videos

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Short Answer Questions|104 Videos

  • MATHEMATICAL TOOLS

    PRADEEP|Exercise Fill in the blanks|5 Videos

  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Competiton Focus Jee Medical Entrance|18 Videos

Similar Questions

Explore conceptually related problems

Four particles each of mass M move along a circle of radius R under the action of their mutula gravitational attraction the speed of each paritcles is

Two particles of same mass m go around a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is ,

Two particles of equal mass go round a circle of radius R under the action of their mutual gravitational attraction. Find the speed of each particle.

Two particles of equel mass (m) move in a circle of radius (r ) under the action of their mutual gravitational attraction.Find the speed of each particle.

Two particles each of equal mass (m) move along a circle of radius (r) under the action of their mutual dravitational. Find the speed of each particle.

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

Two particles of equal mass m go around a circle of radius R under the action the of their mutual gravitational attraction . The speed v of each particle is

Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction as shown in figure. The speed of each particle is :

PRADEEP-OSCILLATIONS AND WAVES-Long Answer Questions
  1. Obtain the equation of a plane progressive simple harmonic wave.

    Text Solution

    |

  2. Establish relation between particle velocity and wave velocity.

    Text Solution

    |

  3. Briefly discuss the phenomenon of reflection of waves. Mention some o...

    Text Solution

    |

  4. State and explain superposition principle. Does it apply to electromag...

    Text Solution

    |

  5. What are standing waves ? Discuss graphical method for formation of st...

    Text Solution

    |

  6. Give some important characteristics of standing waves.

    Text Solution

    |

  7. Give analytical treatment of formation of standing waves on strings an...

    Text Solution

    |

  8. State and explain the laws of vibrations of stretched strings.

    Text Solution

    |

  9. Describe analytically how standing waves are formed in closed organ pi...

    Text Solution

    |

  10. Briefly discuss the formation of standing waves in open organ pipes.

    Text Solution

    |

  11. What is meant by beats? Discuss graphical method of beats.

    Text Solution

    |

  12. Explain briefly the analytical method of formation of beats.

    Text Solution

    |

  13. How do you use the phenomenon of beats for determination of unknown f...

    Text Solution

    |

  14. Explain Doppler effect in sound. Derive the expression for the apparen...

    Text Solution

    |

  15. A perosn normally weighting 50kg stands on a massless platform which o...

    Text Solution

    |

  16. A body of mass m is attached to one end of a massless spring which is ...

    Text Solution

    |

  17. A cylinderical log of wood of height h and area of cross-section A flo...

    Text Solution

    |

  18. One end of V-tube containing mercury is connected to a suction grouup ...

    Text Solution

    |

  19. Consider the earth as a uniform sphere if mass M and radius R. Imagine...

    Text Solution

    |

  20. A simple pendulum of time period 1s and length l is hung from a fixed ...

    Text Solution

    |