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JIPMER 2006
Exam
JIPMER
Year
2006
Subject
Physics
Chapter
Gravitation

JIPMER 2006 · Physics · Gravitation

There are two planets and the ratio of radius of the two planets is...

There are two planets and the ratio of radius of the two planets is KK but ratio of acceleration due to gravity of both planets is gg. What will be the ratio of their escape velocity?

Options

  1. A(Kg)1/2(K g)^{1 / 2}
  2. B(Kg)−1/2(K g)^{-1 / 2}
  3. C(Kg)2(K g)^2
  4. D(Kg)−2(\mathrm{Kg})^{-2}

Correct answer

A. (Kg)1/2(K g)^{1 / 2}

Step-by-step solution

ve=Rgv1v2=R1R2⋅g1g2=Kg=(Kg)1/2\begin{aligned} v_e & =\sqrt{R g} \\ \frac{v_1}{v_2} & =\sqrt{\frac{R_1}{R_2} \cdot \frac{g_1}{g_2}} \\ & =\sqrt{K g} \\ & =(K g)^{1 / 2}\end{aligned}
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