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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceHard2 minPYQ_2014
PhysicsHardsingle choice

A planet of radiusR=110×(radius of Earth) has the same mass density as Earth. Scientists dig a well of depthR5on it and lower a wire of the same length and of linear mass density10-3 kgm-1into 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=6×106 mand the acceleration due to gravity of Earth is10 ms-2)

Options:

Answer:
B
Solution:

Inside planet
gi=gsrR=43Gπrρ
Force to keep the wire at rest (F)
= weight of wire
=4R5Rλdr43Gπrρ=43Gπρ9λ50R2
Here,ρ=density of earth=Me43πRe2
Also,R=Re10; putting all values,F=108 N

Stream:JEE_ADVSubject:PhysicsTopic:GravitationSubtopic:Field & Force
2mℹ️ Source: PYQ_2014

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