Home Physics Gravitation JEE (Advanced) / IIT-JEE Problems (Previous Years) A planet of radius R = × (radius of Earth) …
Physics Gravitation JEE (Advanced) / IIT-JEE Problems (Previous Years) MCQ (Single Correct)

A planet of radius R = × (radius of Earth) has the same mass density as Earth. Scientists dig a well of depth on it and lower a wire of the same length and of linear mass density 10 –3 kgm –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 × 10 6 m and the acceleration due to gravity on Earth is 10 ms –2 )

A
96 N
B
108N
C
120N
D
150N

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Verified by Experts
The correct answer is:
B

Given, R planet =

density, ρ =

M planet =

g surface of planet = = = =

g depth of planet = g surface of planet where x = distance from center of planet

T = = = 108 N

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