GravitationHard
Question
A tunnel is dug along a chord of the Earth at a perpendicular distance R/2 form the Earth′s centre. The wall of the tunnel may be assumed to be frictionless. A particle is released from one end of the tunnel. The pressing force by the particle on the wall, and the acceleration of the particle varies with x (distance of the particle from the centre) according to :
Options
A.
B.
C.
D.
Solution
Pressing force by the particle on the wall of tunnel is and acceleration is mgsinθ.
Pressing force
= mgcosθ ⇒
pressing force is independent from ′x′ thus it is constant
gsinθ =
x is increases from
to R, thus acceleration increases
Pressing force
= mgcosθ ⇒
pressing force is independent from ′x′ thus it is constant
gsinθ =
x is increases from
to R, thus acceleration increasesCreate a free account to view solution
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