Question

The escape velocity of a body on the surface of the earth is 11.2 km/s. If the earth's mass increases to twice its present value and radius of the earth becomes half, the escape velocity becomes

(a) 22.4 km/s

(b) 44.8 km/s

(c) 5.6 km/s

(d) 11.2 km/s

Answer 1

Correct option (a) 22.4 km/s

Explanation:

Escape velocity of a body (v_e) = 11.2 km/s; New mass of the earth M'_e = 2 M_e and new radius  of the earth R'_e = 0.5 R_e.