Question) A particle of mass m is dropped from height r equal to the radius of earth above the tunnel dug through the earth as shown in the figure. Hence the correct statement is
(1) Particle will oscillate through the earth to a height h = R on both sides.
(2) Motion of the particle is periodic.
(3) Motion of the particle is simple harmonic.
(4) Both (1) and (2).

For SHM y should be porpotional to y

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