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Questions  

 A body is projected up with a velocity equal to 3/4th of the escape velocity from the surface of earth.  The height it reaches is (R=Radius of earth)

a
10R/9
b
9R/7
c
9R/8
d
10R/3

detailed solution

Correct option is B

From the law of conservation of energy12mv2 = GMmR−GMmR+hv22 = GMRR+hh12342GMR2 = GMRhR+h9162GMR12 = GMRhR+h9R+9h = 16h9R = 7hh = 9R7

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