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QAIPMT-2003-Ph-2751: NEET 2003 Physics - Class 11 AIPMT-2003-Ph-2751 Solution: A body of mass m is placed on earth's surface which is taken…

A body of mass m is placed on earth's surface which is taken from earth surface to a height of h = 3R, then change in gravitational potential energy is

Multiple Choice Options

  • A mgR4\frac{mgR}{4}
  • B 23mgR\frac{2}{3}mgR
  • C 34mgR\frac{3}{4}mgR
  • D mgR2\frac{mgR}{2}

Step-by-Step Verified Solution

Gravitational potential energy on earth�s surface = _ G M m R , where M and R are the mass and radius of the earth respectively, m is the mass of the body and G is the universal gravitational constant. Gravitational potential energy at a height h = 3R = _ G M m R + h = _ G M m R + 3 R = _ G M m 4 R _ Change in potential energy = _ G M m 4 R _ ( _ G M m R ) = _ G M m 4 R + G M m R = 3 4 G M m R = 3 4 m g R

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