Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

There are two planets. The ratio of radius of the two planets is k but ratio of acceleration due to gravity of both planets is g . What will be the ratio of their escape velocity ?

Options:

[kg]1/2

[kg]-1/2

[kg]2

[kg]-2

Correct Answer:

[kg]1/2

Explanation:

\(v_e = \sqrt{2gR}\)

\(\frac{v_{e_1}}{v_{e_2}} = \sqrt{\frac{R_1 g_1}{R_2 g_2}}\)

\(\frac{v_{e_1}}{v_{e_2}} = \sqrt{kg}\)