Home
Class 12
PHYSICS
The dependence of acceleration due to gr...

The dependence of acceleration due to gravity g on the distance r from the centre of the earth assumed to be a sphere of radius R of uniform density is as shown figure below.

The correct figure is

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D

For point P earth
`g=(GM)/R^3xxr` o < `r le R`
For point P outside the earth
`g=(GM)/r^2 r ge R`

Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) SINGLE OPTION CORRECT|14 Videos
  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) MULTIPLE OPTIONS CORRECT TYPE|5 Videos
  • GRAVITATION

    VMC MODULES ENGLISH|Exercise Level-2|30 Videos
  • GASEOUS STATE & THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE )|111 Videos
  • INTRODUCTION TO VECTORS & FORCES

    VMC MODULES ENGLISH|Exercise JEE Advanced ( ARCHIVE LEVEL-2)|12 Videos

Similar Questions

Explore conceptually related problems

The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in Fig. below: The correct figure is

The acceleration due to gravity at a depth R//2 below the surface of the earth is

The value of g (acceleration due to gravity) at earth's surface is 10 ms^(-2) . Its value in ms^(-2) at the centre of the earth which is assumed to be a sphere of radius R metre and uniform mass density is

Assuming the earth to be a sphere of uniform density, the acceleration due to gravity

Figure shows variation of acceleration due to gravity with distance from centre of a uniform spherical planet, Radius of planet is R. What is r_(1) - r_(1)

If acceleration due to gravity at distance d [ < R ] from the centre of earth is beta , then its value at distance d above the surface of earth will be [ where R is radius of earth ]

What will be the acceleration due to gravity at a distance of 3200 km below the surface of the earth ? (Take R_(e)=6400 km)

A point charge q , is placed at a distance r from the centre of an aluminium sphere, of radius R ( r gt R ) . Selectr the correct alternatives.

Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by

If R is the radius of the earth and g the acceleration due to gravity on the earth's surface, the mean density of the earth is

VMC MODULES ENGLISH-GRAVITATION-JEE Main (Archive)
  1. Four particles, each of mass M and equidistant from each other, move a...

    Text Solution

    |

  2. An astronaut of mass m is working on a satellite orbiting the earth at...

    Text Solution

    |

  3. The dependence of acceleration due to gravity g on the distance r from...

    Text Solution

    |

  4. If the earth has no rotational motion, the weight of a person on the e...

    Text Solution

    |

  5. The mass density of a spherical body is given by rho(r)=k/r for r le R...

    Text Solution

    |

  6. Suppose that angular velocity of rotation of earth is increased. Then...

    Text Solution

    |

  7. The relative uncertainty in the period of a satellite orbiting around ...

    Text Solution

    |

  8. A body of mass m is moving in a circular orbit of radius R about a pla...

    Text Solution

    |

  9. Take the mean distance of the moon and the sun from the earth to be0.4...

    Text Solution

    |

  10. Four identical particles of mass M are located at the corners of a squ...

    Text Solution

    |

  11. A rocket has to be launched from earh in such a way that it never retu...

    Text Solution

    |

  12. A solid sphere of radius a and mass m is surrounded by cocentric spher...

    Text Solution

    |

  13. A test particle is moving in a circular orbit in the gravitational fie...

    Text Solution

    |

  14. A ball is thrown upward with an initial velocity V0 from the surface o...

    Text Solution

    |

  15. If g is acceleration due to gravity on the surface of the earth, havin...

    Text Solution

    |

  16. A spaceship orbits around a planet at a height of 20 km from its surfa...

    Text Solution

    |

  17. The ratio of the weight of a body on the Earth’s surface to that on th...

    Text Solution

    |

  18. The energy required to take a satellite to a height ‘h’ above Earth su...

    Text Solution

    |

  19. If the angular momentum of a planet of mass m, moving around the Sun i...

    Text Solution

    |

  20. Two stars of masses 3 xx 10^(31) kg each, and at distance 2 xx 10^(11)...

    Text Solution

    |