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The gravitational potential energy of a body of mass m at the earth's surface is -mg R_e.Its gravitational potential energy at a height R_efrom the earth's surface will be (R =radius of the earth)

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−12mgRe

-2mg Re,

12mgRe

2 mg Re

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detailed solution

Correct option is A

The gravitational potential ener8y at a height h above the earth's surface is given mUph=−GMemRe+hwhere Re = radius of the earth.Given h = Re, henceUph=−GMem2Re=12−GMemRe=12Up=12×−mgRe=−12mgRe

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The gravitational potential energy of a body of mass m at the earth's surface is -mg Re.Its gravitational potential energy at a height Re from the earth's surface will be (R =radius of the earth)

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The gravitational potential energy of a body of mass m at the earth's surface is -mg R_e.Its gravitational potential energy at a height R_efrom the earth's surface will be (R =radius of the earth)