The gravitational potential due to a system of two concentric thin spherical shells of mass M and 2M and radius R and 3R respectively at the point P is

Question

The gravitational potential due to a system of two concentric thin spherical shells of mass M and 2M and radius R and 3R respectively at the point P is <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/8861948bc840d7ff907f95b1bba14e48-.png" /> (A) -(GM/R) (B) -(5/3)(GM/R) (C) -(3GM/2R) (D) -(GM/2R)

Tardigrade Admin · Accepted Answer

VP = -(G2M/3R) - (GM/R) = - (GM/R)(+(2/3)+1) = -(5/3) (GM/R)

Q. The gravitational potential due to a system of two concentric thin spherical shells of mass $M$ and $2 M$ and radius $R$ and $3 R$ respectively at the point $P$ is

$- \frac{GM}{R}$

$- \frac{5}{3} \frac{GM}{R}$

$- \frac{3 GM}{2 R}$

$- \frac{GM}{2 R}$

$V_{P} = - \frac{G 2 M}{3 R} - \frac{GM}{R}$
$= - \frac{GM}{R} (+ \frac{2}{3} + 1)$
$= - \frac{5}{3} \frac{GM}{R}$

Q. The gravitational potential due to a system of two concentric thin spherical shells of mass M and 2M and radius R and 3R respectively at the point P is

−RGM​

−35​RGM​

−2R3GM​

−2RGM​