Home
Class 11
PHYSICS
If the angular momentum of a planet of m...

If the angular momentum of a planet of mass m, moving around the Sun in a circular orbit is L, about the center of the Sun, its areal velocity is :

A

`(2L)/(m)`

B

`(4L)/(m)`

C

`(L)/(2m)`

D

`(L)/(m)`

Text Solution

Verified by Experts

The correct Answer is:
C
`dA=(1)/(2)r^(2)d theta`
`(dA)/(dt)=(1)/(2)r^(2)(d theta)/(dt)`
`(dA)/(dt)=(1)/(2)r^(2)omega=(L)/(2m)` since `L=mr^(2)omega`
Promotional Banner

Similar Questions

Explore conceptually related problems

The angular momentum of a planet of mass M moving around the sun in an elliptical orbitis vecL . The magnitude of the areal velocity of the planet is :

If a planet of mass m is revolving around the sun in a circular orbit of radius r with time period, T then mass of the sun is

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

The areal velocity of the planets revolving around the sun is ………….. .

The areal velocity of a planet of mass m moving in elliptical orbit around the sun with an angular momentum of L units is equal to

The maximum kinetic energy of a planet moving around the sun is at a position Sun