JEE Main 2024 (8 Apr, Shift 1) Physics Q38: Gravitation

Question

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 is $L$ and that of B is $3L$, the ratio of time period $\left(\frac{T_A}{T_B}\right)$ is:

Accepted Answer

Option 1: $\frac{1}{27}\left(\frac{m_2}{m_1}\right)^3$

Answer

$\frac{1}{27}\left(\frac{m_2}{m_1}\right)^3$

Answer

$27\left(\frac{m_1}{m_2}\right)^3$

Answer

$\left(\frac{r_1}{r_2}\right)^3$

Answer

$\left(\frac{r_2}{r_1}\right)^{3/2}$

JEE Main 8 April 2024, Shift 1, Physics Q38

Same idea in other shifts