Home
Class 12
PHYSICS
A planet of small mass m moves around th...

A planet of small mass `m` moves around the sun of mass `M` along an elliptrical orbit such that its minimum and maximum distance from sun are `r` and `R` respectively. Its period of revolution will be:

A

`T =pi sqrt(((r + R)^(3))/(2GM_(s)))`

B

`T =pi sqrt(((r + R)^(3))/(3GM_(s)))`

C

`T =pi sqrt(((r + R)^(3))/(GM_(s)))`

D

`T =pi sqrt((2(r + R)^(3))/(GM_(s)))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 12

    NTA MOCK TESTS|Exercise PHYSICS - SUBJECTIVE NUMERICAL|5 Videos

  • JEE MOCK TEST 14

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A planet of mass m moves around the Sun of mass Min an elliptical orbit. The maximum and minimum distance of the planet from the Sun are r_(1) and r_(2) , respectively. Find the relation between the time period of the planet in terms of r_(1) and r_(2) .

A planet of mass m is moving around the sun in an elliptical orbit of semi-major axis a :

A planet of mass m is moving in an elliptical orbit about the sun (mass of sun = M). The maximum and minimum distances of the planet from the sun are r_(1) and r_(2) respectively. The period of revolution of the planet wil be proportional to :

A planet of mass m moves along an ellipse around the sum of mass M so that its maximum and minimum distances from sum are a and b respectively. Prove that the angular momentum L of this planet relative to the centre of the sun is L=msqrt((2GGMab)/((a+b)))

A planet of mass m revolves in elliptical orbit around the sun of mass M so that its maximum and minimum distance from the sun equal to r_(a) and r_(p) respectively. Find the angular momentum of this planet relative to the sun.

A planet of mass M moves around the Sun along an ellipse so that its minimum distance from the Sun is equal to r and the maximum distance to R. Making use of Kepler's laws, find its period of revolution around the Sun.

A planet of mass m moves along an ellipse around the sun so that its maximum and minimum distance from the sun are equal to r_(1) and r_(2) respectively. Find the angular momentum of this planet relative to the centre of the sun. mass of the sun is M .

A planet of mass m moves along an ellipse around the Sun so that its maximum and minimum distances from the Sun are equal to r_1 and r_2 respectively. Find the angular momentum M of this planet relative to the centre of the Sun.

NTA MOCK TESTS-JEE MOCK TEST 13-PHYSICS
  1. The figure below shows a battery of emf epsilon connected to an induct...

    Text Solution

    |

  2. An uncharged sphere of metal is placed in between two charged plates a...

    Text Solution

    |

  3. A small charged ball is hovering in the state of equilibrium at a heig...

    Text Solution

    |

  4. A planet of small mass m moves around the sun of mass M along an ellip...

    Text Solution

    |

  5. A body takes 5 minutes for cooling from 50^(@)C to 40^(@)C Its temp...

    Text Solution

    |

  6. Pressure P, Volume V and temperature T of a certain material are relat...

    Text Solution

    |

  7. A loop PQR carries a current i = 2A as shown in the figure. A uniform...

    Text Solution

    |

  8. An object of mass 10kg is connected to the lower end of a massless str...

    Text Solution

    |

  9. Friction is absent everywhere and the threads, spring and pulleys are ...

    Text Solution

    |

  10. The work done by the force vec( F ) = 6 hat(i) + 2 hat(j) N in displac...

    Text Solution

    |

  11. Two bodies are in equilibrium when suspended in water from the arms of...

    Text Solution

    |

  12. A sound wave of frequency f propagating through air with a velocity C,...

    Text Solution

    |

  13. In CGS system of units, the density of a material is 4 g cm^(-3) . Wha...

    Text Solution

    |

  14. The current in the branch of a circuit shown below is

    Text Solution

    |

  15. In the circuit shown in figure,the base current I(B) is 10 mu A and th...

    Text Solution

    |

  16. A motor generates an output power of 220 W at an angular velocity of 2...

    Text Solution

    |

  17. A point source S is placed at the bottom of a 12 mm high transparent b...

    Text Solution

    |

  18. The ratio of amplitudes of two coherent waves in Young's double-slit e...

    Text Solution

    |

  19. A pendulum clock ( fitted with a small heavy bob that is connected wi...

    Text Solution

    |

  20. A metal surface having a work function phi = 2.2 xx 10^(-19) J, is ill...

    Text Solution

    |