Home
Class 11
PHYSICS
A planet is revolving round the sun. Its...

A planet is revolving round the sun. Its distance from the sun at Apogee is `r_(A)` and that at Perigee is `r_(p)`. The mass of planet and sun is m and M respectively, `v_(A)` and `v_(P)` is the velocity of planet at Apogee and Perigee respectively and T is the time period of revolution of planet round the sun.
(a) `T^(2)=pi^(2)/(2 GM) (r_(A)+r_(P))^(2)` (b) `T^(2)= pi^(2)/(2GM) (r_(A)+r_(P))^(3)`
(c) `v_(A)r_(A)=v_(P)r_(P)` (d) `v_(A) lt v_(P), r_(A) gt r_(P)`

A

`T^(2)=(pi^2)/(2GM)(r_A+r_P)^3`

B

`T^(2)=(pi^2)/(2GM)(r_A+r_P)^2`

C

`v_Ar_A=v_pr_P`

D

`v_A lt v_p , r_A gt r_p`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

A planet is revolving around the sun. its distance from the sun at apogee is r_(A) and that at perigee is r_(p) . The masses of planet and sun are 'm' and M respectively, V_(A) is the velocity of planet at apogee and V_(P) is at perigee respectively and T is the time period of revolution of planet around the sun, then identify the wrong answer.

A planet revolves around the sun in an elliptical orbit. If v_(p) and v_(a) are the velocities of the planet at the perigee and apogee respectively, then the eccentricity of the elliptical orbit is given by :

A planet is moving round the sun in an elliptical orbit as shows. As the planet moves from A to B

A planet is revolving around the Sun in an elliptical orbit. Its closest distance from the Sun is r and farthest distance is R . If the orbital velocity of the planet closest to the Sun is v , then what is the velocity at the farthest point?

A planet is revolving in an elliptical orbit around the sun. Its closest distance from the sun is r and the farthest distance is R. If the velocity of the planet nearest to the sun be v and that farthest away from the sun be V. then v/V is

The distance of the planet Jupiter from the Sun is 5.2 times that of the Earth. Find the period of Jupiter's revolution around the Sun.

A planet moves around the sun. It is closest to sun to sun at a distance d_(1) and have velocity v_(1) At farthest distance d_(2) its speed will be

The radii of two planets are respectively R_(1) and R_(2) and their densities are respectively rho_(1) and rho_(2) .The ratio of the accelerations due to gravity at their surface is

A planet is revolving round the sun in an elliptical orbit, If v is the velocity of the planet when its position vector from the sun is r, then areal velocity of the planet is

The distance of two planets from the sun are 10^(13) and 10^(12) m respectively. The ratio of the periods of the planet is