A point mass m is placed inside a spherical shell of radius R and mass M at a distance (R/2) from the centre of the shell. The gravitational force exerted by the shell on the point mass is

Question

A point mass m is placed inside a spherical shell of radius R and mass M at a distance (R/2) from the centre of the shell. The gravitational force exerted by the shell on the point mass is (A) (GMm/R2) (B) (2GMm/R2) (C) zero (D) (4GMm/R2)

Tardigrade Admin · Accepted Answer

If a point mass is placed inside a uniform spherical shell, the gravitational force on the point mass is zero. Hence, the gravitational force exerted by the shell on the point mass is zero.

Q. A point mass $m$ is placed inside a spherical shell of radius $R$ and mass $M$ at a distance $\frac{R}{2}$ from the centre of the shell. The gravitational force exerted by the shell on the point mass is

$\frac{GM m}{R ^{2}}$

$\frac{2 GM m}{R ^{2}}$

zero

$\frac{4 GM m}{R ^{2}}$

If a point mass is placed inside a uniform spherical shell, the gravitational force on the point mass is zero. Hence, the gravitational force exerted by the shell on the point mass is zero.

Q. A point mass m is placed inside a spherical shell of radius R and mass M at a distance 2R​ from the centre of the shell. The gravitational force exerted by the shell on the point mass is

R2GMm​

R22GMm​

zero

R24GMm​

If a point mass is placed inside a uniform spherical shell, the gravitational force on the point mass is zero. Hence, the gravitational force exerted by the shell on the point mass is zero.

Q. A point mass $m$ is placed inside a spherical shell of radius $R$ and mass $M$ at a distance $\frac{R}{2}$ from the centre of the shell. The gravitational force exerted by the shell on the point mass is

$\frac{GM m}{R ^{2}}$

$\frac{2 GM m}{R ^{2}}$

$\frac{4 GM m}{R ^{2}}$