A planet of radius R=110×(radiusofEarth) has the same mass density as Earth. Scientists dig a well of depth R5 on it and lower a wire of the same length and of linear mass density 10−3kgm−1 into it. If the wire is not touching anywhere, the force applied at the top of the wire by a person holding it in place is (take the radius of Earth =6×106m and the acceleration due to gravity of Earth is 10−2)

96N

108N

120N

150N

A

96N

B

108N

C

150N

D

120N

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Solution

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ginner=gsurfacerR =43Gπrρ Force to keep the wire at rest (F) = weight of wire ∫R4R5λ×ginnerdr Putting the values and solving we get, F=108N

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