Two planets A and B having masses m₁ and m₂ move around the sun in circular orbits of r₁ and r₂ radii respectively. If angular momentum of A is L and that of B is 3 ~L, the ratio of time period (T A /T B) is:

Gravitation: JEE Main 2024 Physics question

JEE Main 2024 · 8 Apr, Morning shift · Q7287

JEE Main 20248 Apr, Morning shiftPhysicsMediumGravitation159× since 2002

Two planets

A

and

B

having masses

m_1

and

m_2

move around the sun in circular orbits of

r_1

and

r_2

radii respectively. If angular momentum of

A

L

and that of

B

3 \mathrm{~L}

, the ratio of time period

\left(\frac{T_A}{T_B}\right)

is: