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Gravitation question

2015 · Shift 1 · Q44
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Gravitation question

2015 · Shift 1 · Q44

JEE AdvancedPhysicsGravitationNumerical+4 / −1
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 (14)th{\left( {{1 \over 4}} \right)^{th}}(41​)th of its value at the surface of the planet. If the escape velocity from the planet is vesc=vN{v_{esc}} = v\sqrt Nvesc​=vN​, then the value of N is (ignore energy loss due to atmosphere)
Numerical answer
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