JEE Main 2018 — Gravitation Question with Solution

Take the mean distance of the moon and the sun from the earth to be $0.4\times 10^6\mathrm{km}$ and $150\times 10^6\mathrm{km}$ respectively. Their masses are $8\times 10^{22}\mathrm{kg}$ and $2\times$ $10^{30}\mathrm{kg}$ respectively. The radius of the earth is $6400\mathrm{km}$. Let $\Delta F_1$ be the difference in the forces exerted by the moon at the nearest and farthest points on the earth and $\Delta {\mathrm{F}}_2$ be the difference in the force exerted by the sun at the nearest and farthest points on the earth. Then, the number closest to $\frac{\Delta F_1}{\Delta F_2}$ is: