Suppose a vertical tunnel is dug along the diameter of the Earth,which is assumed to be a sphere of uniform mass having density $\rho$. If a body of mass $m$ is dropped into this tunnel,its acceleration at a distance $y$ from the center is given by
- A$\frac{4 \pi}{3} G \rho ym$
- B$\frac{3}{4} \pi G \rho y$
- C$\frac{4}{3} \pi G \rho y$
- D$\frac{4}{3} \pi G \rho ym$
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