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Question

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 103kgm1 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 102)
  1. 96N
  2. 108N
  3. 120N
  4. 150N

A
96N
B
108N
C
150N
D
120N
Solution
Verified by Toppr

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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