1.

A body is projected vertically upwards from the surface of the earth with a velocity equal to half of escape velocity of the earth. If `R` is radius of the earth, maximum height attained by the body from the surface of the earth isA. `R//6`B. `R//3`C. `2R//3`D. `R`

Answer» Correct Answer - B
Maximum height attained by body
`h=R[(v^(2))/(v_(e)^(2)-v^(2))]rArr h=R[(v_(e)^(2)//4)/(v_(e)^(2)-v_(e)^(2)//4)]=R[(v_(e)^(2)//4)/(3_(e)^(2)//4)]rArrh=(R)/(3)`.


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