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Tunnel is dug through the earth …

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Tunnel is dug through the earth from onr side to the other side along with a diameter. The motion of a particle into the tunnel is simple harmonic motion. Find the time period, neglect all the frictional forces and assume that the earth has a uniform density. Assume that G=6.67×10^-11 Nm^2 kg^-2; plzz tell me the answer
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