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Question

Question: A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase ...

A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase in potential energy will be

A

mgRm g R

B

12mgR\frac { 1 } { 2 } m g R

C

2mgR2 m g R

D

14mgR\frac { 1 } { 4 } m g R

Answer

12mgR\frac { 1 } { 2 } m g R

Explanation

Solution

Work done =mgR1+R/R= \frac { m g R } { 1 + R / R } =12mgR= \frac { 1 } { 2 } m g R .