If the radius of the earth is doubled without changing its mass, what will be the change in weight of body of m on the surface of earth ?

If the radius of the earth is doubled without changing its mass, what

1.	If the radius of the earth is doubled without changing its mass, what will be the change in weight of body of m on the surface of earth ?
Answer» SOLUTION :`IMPLIES` Weight`W = mg = (GM_(E)m)/(R_e^2)` Radius of the earth is doubled, Weight W. = mg. `= (GM_(e) m)/(4R_e^2)=W/4 ` becomes `1//4^(TH)` of original weight .