A body is projected up with a velocity equal to (3/4) th of the escape velocity from the surface of the earth. The height it reaches is- (Radius of earth = R)
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Escape velocity for the earth is
v e = 
Given the velocity projection of the body
= v = 
v e = 
Total energy on the earth = Total energy at maximum height h
mv 2 + 
= 0 + 
m. 
. 
– 
= 
= – 
or – 
= 
7R + 7h = 16 R
7h = 9R ⇒ h = 
R
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