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Gravitation question

2024 · 8 Apr · Shift 1 · Q63
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Gravitation question

2024 · 8 Apr · Shift 1 · Q63

JEE MainPhysicsGravitationMCQ+4 / −1
Two planets AAA and BBB having masses m1m_1m1​ and m2m_2m2​ move around the sun in circular orbits of r1r_1r1​ and r2r_2r2​ radii respectively. If angular momentum of AAA is LLL and that of BBB is 3 L3 \mathrm{~L}3 L, the ratio of time period (TATB)\left(\frac{T_A}{T_B}\right)(TB​TA​​) is:
  1. A
    (r2r1)32\left(\frac{r_2}{r_1}\right)^{\frac{3}{2}}(r1​r2​​)23​
  2. B
    27(m1m2)327\left(\frac{m_1}{m_2}\right)^327(m2​m1​​)3
  3. C
    (r1r2)3\left(\frac{r_1}{r_2}\right)^3(r2​r1​​)3
  4. D
    127(m2m1)3\frac{1}{27}\left(\frac{m_2}{m_1}\right)^3271​(m1​m2​​)3
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