Physics
Mechanics
Easy

Question

A particle of mass M is situated at the centre of a spherical shell of same mass and radius R. The gravitational potential at a point situated at 5 distance from the centre will be

  1. negative fraction numerator 3 G M over denominator R end fraction
  2. negative fraction numerator 2 G M over denominator R end fraction
  3. negative fraction numerator G M over denominator R end fraction
  4. negative fraction numerator 4 G M over denominator R end fraction

The correct answer is: negative fraction numerator 3 G M over denominator R end fraction


    V subscript 1 equals negative fraction numerator G M over denominator left parenthesis R divided by 2 right parenthesis end fraction

    table attributes columnalign left end attributes row cell V subscript 2 equals negative fraction numerator G M over denominator R end fraction end cell row cell V equals V subscript 1 plus V subscript 2 end cell row cell equals negative fraction numerator G M over denominator left parenthesis R divided by 2 right parenthesis end fraction plus open parentheses negative fraction numerator G M over denominator R end fraction close parentheses equals negative fraction numerator 2 G M over denominator R end fraction minus fraction numerator G M over denominator R end fraction equals negative fraction numerator 3 G M over denominator R end fraction end cell end table

    Related Questions to study

    Mechanics
    Physics

    The mass of the earth is 6 cross times 10 to the power of 24 k g and that of the moon is 7.4 cross times 10 to the power of 22 k g. The potential energy of the system is negative 7.79 cross times 10 to the power of 28 J. The mean distance between the earth and moon is open parentheses G equals 6.67 cross times 10 to the power of negative 11 end exponent N m squared k g to the power of negative 2 end exponent close parentheses.

    The mass of the earth is 6 cross times 10 to the power of 24 k g and that of the moon is 7.4 cross times 10 to the power of 22 k g. The potential energy of the system is negative 7.79 cross times 10 to the power of 28 J. The mean distance between the earth and moon is open parentheses G equals 6.67 cross times 10 to the power of negative 11 end exponent N m squared k g to the power of negative 2 end exponent close parentheses.

    PhysicsMechanics
    Mechanics
    Physics

    Two spheres each of mass M and radius R are separated by a distance of r. The gravitational potential at the midpoint of the line joining the centres of the spheres is

    Two spheres each of mass M and radius R are separated by a distance of r. The gravitational potential at the midpoint of the line joining the centres of the spheres is

    PhysicsMechanics
    Mechanics
    Physics

    A particle of mass m is placed at the centre of a uniform spherical shell of mass 3 m and radius R. The gravitational potential on the surface of the shell is

    A particle of mass m is placed at the centre of a uniform spherical shell of mass 3 m and radius R. The gravitational potential on the surface of the shell is

    PhysicsMechanics
    parallel
    Mechanics
    Physics

    The change in potential energy when a body of mass m is raised to a height n RE from earth's surface is (RE. radius of the earth)

    The change in potential energy when a body of mass m is raised to a height n RE from earth's surface is (RE. radius of the earth)

    PhysicsMechanics
    Mechanics
    Physics

    Four particles each of mass m are placed at the vertices of a square of side l. The potential at the centre of square is

    Four particles each of mass m are placed at the vertices of a square of side l. The potential at the centre of square is

    PhysicsMechanics
    Mechanics
    Physics

    Four particles each of mass m are placed at the vertices of a square of side . The potential energy of the system is

    Four particles each of mass m are placed at the vertices of a square of side . The potential energy of the system is

    PhysicsMechanics
    parallel
    Mechanics
    Physics

    A body of mass m is placed on earth surface which is taken from earth surface to a height of h=3 R, then change in gravitational potential energy is

    A body of mass m is placed on earth surface which is taken from earth surface to a height of h=3 R, then change in gravitational potential energy is

    PhysicsMechanics
    Mechanics
    Physics

    Two oppositely rotating satellites of same mass are launched in the same orbit round the earth. The collide idealistically. What is the ratio of gravitational potential energy before and after collision?

    Two oppositely rotating satellites of same mass are launched in the same orbit round the earth. The collide idealistically. What is the ratio of gravitational potential energy before and after collision?

    PhysicsMechanics
    Mechanics
    Physics

    The potential energy of interaction between the semi-circular ring of mass M and radius R1 and the particle of mass M placed at the centre of curvature of the semi-circular arc is:

    The potential energy of interaction between the semi-circular ring of mass M and radius R1 and the particle of mass M placed at the centre of curvature of the semi-circular arc is:

    PhysicsMechanics
    parallel
    Mechanics
    Physics

    The gravitational potential energy of a body of mass 'm’ at the earth's surface -mgRe. Its gravitational potential energy at a height Re from the earth's surface will be (Here Re is the radius of the earth)

    The gravitational potential energy of a body of mass 'm’ at the earth's surface -mgRe. Its gravitational potential energy at a height Re from the earth's surface will be (Here Re is the radius of the earth)

    PhysicsMechanics
    Mechanics
    Physics

    A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is

    A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is

    PhysicsMechanics
    Mechanics
    Physics

    A shell of mass M and radius R has a point mass m placed at a distance r from its centre. The gravitational potential energy U(r) vs r will be

    A shell of mass M and radius R has a point mass m placed at a distance r from its centre. The gravitational potential energy U(r) vs r will be

    PhysicsMechanics
    parallel
    Mechanics
    Physics

    The intensity of gravitational field at a point situated at a distance of 8000 km from the centre of the earth is 6 N / kg. The gravitational potential at that point is - (in Joule/ kg)

    The intensity of gravitational field at a point situated at a distance of 8000 km from the centre of the earth is 6 N / kg. The gravitational potential at that point is - (in Joule/ kg)

    PhysicsMechanics
    Mechanics
    Physics

    A projectile is launched from the surface of Earth with a velocity less than the escape velocity. Its total mechanical energy is

    A projectile is launched from the surface of Earth with a velocity less than the escape velocity. Its total mechanical energy is

    PhysicsMechanics
    Mechanics
    Physics

    Particles of masses 2 M, m and 3 M are respectively at points A, B and C with AB=1/4(BC). m is much-much smaller than M and at time t=0, they are all at rest. At subsequent times before any collision takes place

    Particles of masses 2 M, m and 3 M are respectively at points A, B and C with AB=1/4(BC). m is much-much smaller than M and at time t=0, they are all at rest. At subsequent times before any collision takes place

    PhysicsMechanics
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.