Home
Class 12
PHYSICS
A spherical hole of radius R//2 is exca...

A spherical hole of radius `R//2` is excavated from the asteroid of mass M as shown in the figure the gravitational acceleration at a point on the surface of the asteroid just above the excavation is

A

`(GM)/(R^(2))`

B

`(GM)/(2R^(2))`

C

`(GM)/(8R^(2))`

D

`(7GM)/(8R^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

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

  • GRAVITATION

    FIITJEE|Exercise Assigment problems (Objective) (level-II)|20 Videos

  • GRAVITATION

    FIITJEE|Exercise Assigment problems (Subjective) (level II & III)|15 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

In the above question, if the soild sphere is a large rock, what is the gravitational acceleration at a point on the surface of the rock at a point just above the cavity ?

A sphere of radius 2R and mas M has a spherical cavity of radius R as shown in the figure. Find the value of gravitational field at a point P at a distance of 6R from centre of the sphere.

From a solid sphere of mass M and radius R, a spherical portion of radiu (R )/(2) is removed as shown in the figure. Taking gravitational potential V = 0 at r = oo , the potential at the centre of the cavity thus formed is (G = gravitational constant)

All the surfaces are smooth as shown in figure. The acceleration of mass m relative to wedge is :

The earth is a homogeneous sphere of mass M and radius R. There is another spherical planet of mass M and radius R whose density changes with distance r from the centre as p=p_(0)r. (a) Find the ratio of acceleration due to gravity on the surface of the earth and that on the surface of the planet. (b) Find p_(0).

If M is the mass of the earth and R its radius, then ratio of the gravitational acceleration and the gravitational constant is

A hole of radius R/2 is cut from a thin circular plate of raduis R as shown in the figure. If the mass of the remaining plate is M, then find moment of inertia of the plate about an axis through O perpendicular to plane

A particel of mass M is placed at the centre of a inform spherical shell of mass 2M and radius R. The gravitational potential on the surface of the shell is

A particle of mass m is placed at the centre of a unifrom spherical shell of mass 3 m and radius R The gravitational potential on the surface of the shell is .

If M is the mass of the earth and R its radius, the radio of the gravitational acceleration and the gravitational constant is

FIITJEE-GRAVITATION-Assigment problems (Objective) (level-I)
  1. The ratio of the inertial mass to gravitational mass is equal to

    Text Solution

    |

  2. An artificial satellite moving in a circular orbit around the earth ha...

    Text Solution

    |

  3. A body of mass m at inifnity is approaching the centre of a hypothetic...

    Text Solution

    |

  4. There is no atomosphere on moon because

    Text Solution

    |

  5. The energy required to remove a body of mass m from earth's surfac is/...

    Text Solution

    |

  6. The weight of a body at the centre of the earth is

    Text Solution

    |

  7. When a satellite has an elliptical orbit the plane of the orbit

    Text Solution

    |

  8. The earth revolves round the sun in an elliptical orbit. Its speed

    Text Solution

    |

  9. Two satellites of masses of m(1) and m(2)(m(1)gtm(2)) are revolving ro...

    Text Solution

    |

  10. Two satellites are revolving around the earth in circular orbits of sa...

    Text Solution

    |

  11. A satellite of mass m moving around the earth of mass mE in a circular...

    Text Solution

    |

  12. Let V and E represent the gravitational potential and field at a dista...

    Text Solution

    |

  13. If the mass of moon is (M)/(81), where M is the mass of earth, find th...

    Text Solution

    |

  14. Two masses m(1) and m(2) at an infinite distance from each other are i...

    Text Solution

    |

  15. Suppose the gravitational force varies inversely as the n^(th) power o...

    Text Solution

    |

  16. A satellite having time period of revolution 6830 sec is travelling in...

    Text Solution

    |

  17. A spherical hole of radius R//2 is excavated from the asteroid of mas...

    Text Solution

    |

  18. In a double star system one of mass m(1) and another of mass m(2) with...

    Text Solution

    |

  19. Two spherical massive bodies of uniform density each of mass M and rad...

    Text Solution

    |

  20. An earth satellite is moving round the earth in a circular orbit . For...

    Text Solution

    |