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A point mass m is placed inside a spheri...

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

A

`(2Gm^(2))/(R^(2))`

B

`(Gm^(2))/(R^(2))`

C

`(Gm^(2))/(2R)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
Inside spherical shell gravitational field due to shell is zero.
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Knowledge Check

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

    A
    `(GMm)/(R^2)`
    B
    `(2GMm)/(R^2)`
    C
    zero
    D
    `(4G Mm)/(R^2)`

  • A point charge q is placed inside a conducting spherical shell of inner radius 2R and outer radius 3R at a distance of R fro the centre of the shell. The electric potential at the centre of shell will (potential at infinity is zero).

    A
    `(1)/(4piepsilon_(0))(q)/(2R)`
    B
    `(1)/(4piepsilon_(0))(4q)/(3R)`
    C
    `(1)/(4piepsilon_(0))(5q)/(6R)`
    D
    `(1)/(4piepsilon_(0))(2q)/(3R)`

  • A point charge q is placed inside a conducting spherical shell of inner radius 2 R and outer radius 3 R at a distance of R from the center of the shell. Find the electric potential at the center of the shell.

    A
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    B
    `(1)/(4 pi epsilon_0) (4 q)/(3 R)`
    C
    `(1)/(4 pi epsilon_0) (5 q)/(6 R)`
    D
    `(1)/(4 pi epsilon_0) (2 q)/(3 R)`
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