A body is projected up from the surface of the earth with a velocity equal to 3/4th of its escape velocity. If R be the radius of earth, the height it reaches is :
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a
3R/10
b
9R/7
c
8R/5
d
9R/5
answer is B.
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Detailed Solution
By conservation of mechanical energy−GMmR+12m342GMR2=−GMmR+h+0⇒h=97R
A body is projected up from the surface of the earth with a velocity equal to 3/4th of its escape velocity. If R be the radius of earth, the height it reaches is :