JEE Main · PhysicsHard
A tunnel is bored through the earth along a chord that does not pass through the center. A particle is dropped into the tunnel. What is the nature of the motion of the particle?
- A.Simple harmonic motion
- B.Periodic but not simple harmonic
- C.Uniformly accelerated motion
- D.The particle stops at the center
Show correct answer & step-by-step solution
Correct answer: A — Simple harmonic motion
Solution
The gravitational force is . The component along the tunnel is , where is the displacement from the midpoint of the chord. Since , the motion is simple harmonic.
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