Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance $( R / 2)$ from the earth's centre, where $'R'$ is the radius of the Earth. The wall of the tunnel is frictionless. If a particle is released in this tunnel, it will execute a simple harmonic motion with a time period
  • A$\frac{2 \pi R }{ g }$
  • B$\frac{ g }{2 \pi R }$
  • C$\frac{1}{2 \pi} \sqrt{\frac{g}{R}}$
  • D$2 \pi \sqrt{\frac{ R }{ g }}$
JEE MAIN 2021, Diffcult
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