What is the force of attraction due to hollow spherical shell of uninform density, on a point mass placed inside it?

The correct answer is Zero.

Key Points

• A point mass placed inside a hollow spherical shell experiences zero gravitational force from the shell.
• This is a consequence of the shell theorem, formulated by Isaac Newton.
• The shell theorem states that a spherically symmetric shell of mass exerts no net gravitational force on a particle inside it.
• The gravitational forces from different parts of the shell cancel each other out, resulting in a net force of zero.

Additional Information

• Shell Theorem:
  • The shell theorem applies to spherically symmetric objects such as planets and stars.
  • It states that a uniform spherical shell of matter exerts no net gravitational force on a particle located anywhere inside the shell.
  • It also states that the gravitational force outside the shell is as if all the shell's mass were concentrated at its center.
• Gravitational Force:
  • Gravitational force is a force that attracts any two objects with mass.
  • It is described by Newton's Law of Universal Gravitation.
  • The force is proportional to the product of the two masses and inversely proportional to the square of the distance between their centers.
• Uniform Density:
  • A material with uniform density has the same density throughout its volume.
  • In the context of a spherical shell, it means the mass is evenly distributed over its surface.