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Two smooth tu...

Question

Two smooth tunnels are dug from one side of the earth's surface to the other side, one along with a diameter and the other along with a chord. Now two particles are dropped from one end of each of the tunnels. Both the particles oscillate simple harmonically along the tunnels. Let $T_{1}$ and $T_{2}$ be the time periods and $v_{1}$ and $v_{2}$ be the maximum speed of the particles in the two tunnels. Then :

A

T_{1} = T_{2}

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B

T_{1} > T_{2}

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C

v_{1} = v_{2}

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D

v_{1} > v_{2}

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Solution

The correct options are
A $T_{1} = T_{2}$
D $v_{1} > v_{2}$

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