Home
Class 12
PHYSICS
A fixed spherical shell of inner radius ...

A fixed spherical shell of inner radius R and outer radius 2R has mass M, A particle of mass m is held at rest at a distance 2R from the surface of the body. If the particle is released from that point, with what speed will it hit surface of the spherical body ?

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the principles of gravitational potential energy and conservation of energy. ### Step-by-Step Solution: 1. **Understanding the Setup**: - We have a spherical shell with an inner radius \( R \) and an outer radius \( 2R \), and it has a mass \( M \). - A particle of mass \( m \) is held at rest at a distance \( 2R \) from the surface of the shell. Therefore, the total distance from the center of the shell to the particle is \( R + 2R = 3R \). ...
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION -J (Aakash Challengers Questions)|6 Videos

  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOUR SELF|33 Videos

  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION -H (Multiple True - False Type Questions)|5 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - D|9 Videos

  • KINETIC THEORY

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE (ASSIGNMENT) SECTION - D Assertion - Reason Type Questions|10 Videos

Similar Questions

Explore conceptually related problems

A thin spherical shell of mass M and radius R has a small hole. A particle of mass m released at its mouth. Then

A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a .

A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a .

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h(ltltR) above the shell. There is a hole in the shell. What speed will it collide at B?

A metallic spherical shell has an inner radius R_(1) and outer radius R_(2) . A charge is placed at the centre of the spherical cavity. The surface charge density on the inner surface is

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h(lt lt R) above the shell. There is a hole inn the shell. QIn what time will it enter the hole at A

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h(ltltR) above the shell. There is a hole in the shell. What time will it take to move from A to B?

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h(ltltR) above the shell. There is a hole in the shell. At what time will it enter the hole at A

A long straight wire carries a charge with linear density lamda . A particle of mass m and a charge q is released at a distance r from the the wire. The speed of the particle as it crosses a point distance 2r is

A spherical planet far out in space has mass 2M and radius a. A particle of mass m is falling freely near its surface. What will be the acceleration of that particle ?