Home
Class 12
MATHS
A satellite of mass m orbits the earth i...

A satellite of mass m orbits the earth in an elliptical orbit having aphelion distance `r_(a)` and perihelion distance `r_(p)`. The period of the orbit is T. The semi-major and semi-minor axes of the ellipse are `(r_(a) + r_(p))/(2)` and `sqrt(r_(p)r_(a))` respectively. The angular momentum of the satellite is :

A

`(2m pi (r_(B)+r_(p)) sqrt(r_(a) r_(p)))/T`

B

`(m pi (r_(a)+r_(p)) sqrt(r_(a) r_(p)))/(2T)`

C

`(m pi (r_(a)+r_(p)) sqrt(r_(a)r_(p)))/(4T)`

D

`(mpi (r_(a)+r_(p)) sqrt(r_(a)r_(p)))/T`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

  • TEST PAPERS

    RESONANCE|Exercise MATHEMATICS|263 Videos

Similar Questions

Explore conceptually related problems

A satellite of mass m orbits the earth in an elliptical orbit having aphelion distance r_(a) and perihelion distance r_(p) . The period of the orbit is T. The semi-major and semi-minor axes of the ellipse are (r_(a) + r_(p))/(2) and sqrt(rho_(p)r_(a)) respectively. The angular momentum of the satellite is :

A satellite of mass m orbits the earth in an elliptical orbit having aphelion distance r_(a) ad perihelion distance r_(p) . The period of the orbit is T. The semi-major and semi-minor axes of the ellipse are a and b respectively. The angular momentum of the satellite is

A satellite is orbiting the earth in a circular orbit of radius r . Its

A satellite is in an elliptical orbit around the earth with aphelion of 6R_E and perihelion of 3R_E , where R_E is the radius of the earth. The eccentricity of the orbit is

Two satellites of masses M and 4M are orbiting the earth in a circular orbit of radius r. Their frequencies of revolution are in the ratio of

A satellite of mass m orbits around the Earth of mas M in an elliptical orbit of semi - major and semi - minor axes 2a and a respectively. The angular momentum of the satellite about the centre of the Earth is

Two satellites of masses 3 m and m orbit the earth in circular orbits of radii r and 3 r respectively. The ratio of the their speeds is

Two satellite fo masses m and 4m orbit the earth in circular orbits of radii 4r and r respectively. The ratio of their orbital speed is

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 satellite takes years to move around the earth in its permissible orbit of radius R. the period when it revolves round the earth in an orbit of radius 2R is