JEE Advanced 2015 Paper 1 Physics Q3

Physics · Gravitation

Problem

A bullet is fired vertically upwards with velocity

v

from the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet's gravity is

1/4^{\rm th}

of its value at the surface of the planet. If the escape velocity from the planet is

v_{\rm esc}=v\sqrt N

, then the value of

N

is (ignore energy loss due to atmosphere)