# A Tunnel so long!

Consider the earth as a uniform sphere of mass $M$ And Radius $R$. Imagine a straight smooth tunnel made through the earth which connects any two points on its surface (The two points are not diametrically opposite). Determine the time that a particle would take to go from one end to the other through the tunnel. If Your answer is $T s$, then find the value of $\frac{T}{100}$ to the nearest integer.

Details And Assumptions:

• Consider only gravitation force due to earth be acting on the particle during its motion along the tunnel.

• Take acceleration due to gravity on surface of Earth = $10ms^{-2}$

• Radius of Earth = $6400 km$.

This is an entry for the problem writing party.

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