A projectile is fired vertically upwards from the surface of the earth with a velocity kv e , where v e is the escape velocity and k < 1. If R is the radius of the earth, the maximum height to which it will rise measured from the centre of the earth will be: (Neglect air resistance)
A
B
C
R (1 – k 2 )
D
Text Solution
Verified by ExpertsThe correct answer is:
B
If a body is projected from the surface of the earth with a velocity v and reaches a height h, then
according to law of conservation of energy.
Here v = kv e = k 
m k 2 . 2gR = 
k 2 R 
= r – R
k 2 r = r – R or r = 
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