$A$ planet of mass $M$ has two natural satellites with masses $m_1$ and $m_2$. The radii of their circular orbits are $R_1$ and $R_2$ respectively. Ignore the gravitational force between the satellites. Define $v_1, L_1, K_1$ and $T_1$ to be,respectively,the orbital speed,angular momentum,kinetic energy,and time period of revolution of satellite $1$; and $v_2, L_2, K_2$ and $T_2$ to be the corresponding quantities of satellite $2$. Given $m_1/m_2 = 2$ and $R_1/R_2 = 1/4$,match the ratios in List-$I$ to the numbers in List-$II$.
List-$I$List-$II$
$P. \frac{v_1}{v_2}$$1. \frac{1}{8}$
$Q. \frac{L_1}{L_2}$$2. 1$
$R. \frac{K_1}{K_2}$$3. 2$
$S. \frac{T_1}{T_2}$$4. 8$

  • A
    $P \rightarrow 4; Q \rightarrow 2; R \rightarrow 1; S \rightarrow 3$
  • B
    $P \rightarrow 3; Q \rightarrow 2; R \rightarrow 4; S \rightarrow 1$
  • C
    $P \rightarrow 2; Q \rightarrow 3; R \rightarrow 1; S \rightarrow 4$
  • D
    $P \rightarrow 2; Q \rightarrow 3; R \rightarrow 4; S \rightarrow 1$

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