Take the mean distance of the moon and the sun from the earth to be 0.4 × 10⁶ km and 150 × 10⁶ km respectively. Their masses are 8 × 10²² kg and 2 × 10³⁰ kg respectively. The radius of the earth is 6400 km. Let Δ F₁ be the difference in the forces exerted by the moon at the nearest and farthest points on the earth and Δ F₂ be the difference in the force exerted by the sun at the nearest and farthest points on the earth. Then, the number closest to (Δ F₁)/(Δ F₂) is:

Gravitation: JEE Main 2018 Physics question

JEE Main 2018 · 15 Apr, Morning shift · Q7254

JEE Main 201815 Apr, Morning shiftPhysicsHardGravitation159× since 2002

Take the mean distance of the moon and the sun from the earth to be

0.4 \times {10^6}

km and

150 \times {10^6}

km respectively. Their masses are

8 \times {10^{22}}

kg and

2 \times {10^{30}}

kg respectively. The radius of the earth is

6400

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 {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

{{\Delta {F_1}} \over {\Delta {F_2}}}

is :

JEE Main 2018 Gravitation Question with Solution (15 Apr Morning shift, Q7254) | JEE Arc