The magnitudes of the gravitational field at distances r1 and r2 from

1.	The magnitudes of the gravitational field at distances r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2 respectively. Then(a) F1/F2 = r1/r2, if r1 < R and r2 < R(b) F1/F2 = r22/r12, if r1 > R and r2 > R(c) F1/F2 = r1/r2, if r1 > R and r2 > R (d) F1/F2 = r12/r22, if r1 < R and r2 < R
Answer» Correct Answer is: (a, b) F ∝ r if r < R, and F ∝ 1/r² if r > R. ∴ for r₁, r₂ < R, F₁/F₂ = r₁/r₂ for r₁, r₂ > R, F₁/F₂ = r₂²/r₁² .

The magnitudes of the gravitational field at distances r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2 respectively. Then(a) F1/F2 = r1/r2, if r1 < R and r2 < R(b) F1/F2 = r22/r12, if r1 > R and r2 > R(c) F1/F2 = r1/r2, if r1 > R and r2 > R (d) F1/F2 = r12/r22, if r1 < R and r2 < R

Answer»

Correct Answer is: (a, b)

F ∝ r if r < R, and F ∝ 1/r² if r > R.

∴ for r₁, r₂ < R, F₁/F₂ = r₁/r₂

for r₁, r₂ > R, F₁/F₂ = r₂²/r₁² .