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Question

A particle is projected vertically upwards with a velocity v=gR, where R denotes the radius of earth and g is acceleration due to gravity of the surface of earth. The maximum height ascended by the particle is

A
R/2
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B
R
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C
R/4
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D
(3/4)R
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Solution

The correct option is B. R.

From Conservation of Energy,

KEi+Ui=KEf+Uf

12mv2+(GMmR)=GMm(R+h)
Since, v=gR and g=GMR2

mgR2mgR=mgR2(R+h)

R2=R2(R+h)
R+h=2R
h=R.

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