A straight narrow tunnel is dug through the Moon, passing through its center, as indicated in the figure. A small mass m is dropped into it from one end. If m=1 kg, what is the minimum time (in seconds) it will take, from the moment the mass m is dropped through the hole at the surface, for it to reach the opposite surface of the Moon? (Submit your answer in integer seconds)

Consider the Moon as a uniform solid sphere with Radius $R=1.7\times10^6m$ , and mass $M=7.3\times10^{22}m$.

BdPhO- 2023, Dhaka Regional Category : C