Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

The magnitude of the gravitational field at distance r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2 respectively then:

Options:

(F1/F2) = (r1/r2) if r1 < R and r2 < R

(F1/F2) = (r2/r1)2 if r1 > R and r2 > R

(F1/F2) = (r1/r2) if r1 > R and r2 > R

(F1/F2) = (r1/r2)2 if r1 < R and r2 < R

Correct Answer:

(F1/F2) = (r1/r2) if r1 < R and r2 < R

Explanation:

$F \propto r$          (r < R)

$F \propto \frac{1}{r^2}$        ( r > R)

$\frac{F_1}{F_2}=\frac{r_1}{r_2}$      if  r < R

&  $\frac{F_1}{F_2}=\left(\frac{r_2}{r_1}\right)^2$      if  r > R