A solid sphere of uniform density and radius $4$ units is located with its centre at the origin $O$ of coordinates. two spheres of equal radii $1$ unit, with their centres at $A (- 2, 0, 0)$ and $B (2, 0, 0)$ respectively are taken out of the solid leaving behind spherical cavities as shown figure. Then

the gravitational force due to this object at the origin is zero

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the gravitational force at point

B (2, 0, 0)

is zero

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the gravitational potential is the same at all points of circle

y^{2} + z^{2} = 36

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the gravitational potential is the same at all points on the circle

y^{2} + z^{2} = 4

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Solution

The correct options are
A the gravitational force due to this object at the origin is zero
C the gravitational potential is the same at all points of circle $y^{2} + z^{2} = 36$
D the gravitational potential is the same at all points on the circle $y^{2} + z^{2} = 4$

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Similar questions

A solid sphere of uniform density and radius 4 units is located with its centre at the origin O of coordinates. Two spheres of equal radii 1 unit with their centres at A(- 2, 0, 0) and B(2, 0, 0) respectively are taken out of the solid leaving behind spherical cavities as shown in figure. Then,

A solid sphere of uniform density and radius 4 units is located with its centre at the origin O. Two spheres of equal radii 1 unit, with their centres at A (- 2, 0, 0) and B (2, 0, 0) respectively are taken out of the solid leaving behind spherical cavities as shown in the figure. Then choose the incorrect statement.

Q. A solid sphere of uniform density and radius 4 unit is located with its center at the origin O of co-ordinates. Two spheres of equal radii 1 unit, with their centresat A (-2,0,0) and B (2, 0,0) respectively, are taken out of the solid leaving behind spherical cavities as shown in figure. Then

A solid sphere of uniform density and radius 4 units is located with its centre at the origin O. Two spheres of equal radii 1 unit, with their centres at A (- 2, 0, 0) and B (2, 0, 0) respectively are taken out of the solid left behind spherical cavities as shown in the figure. Then choose the correct statement.

Q. A solid sphere of uniform density and radius

4

units is located with its centre at the origin of coordinates,

O

. Two spheres of equal radii of

1

unit, with their centres at

A (- 2, 0, 0)

and

B (2, 0, 0)

respectively, are taken out of the solid sphere, leaving behind spherical cavities as shown in the figure.

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A solid sphere of uniform density and radius 4 units is located with its centre at the origin O of coordinates. two spheres of equal radii 1 unit, with their centres at A(−2,0,0) and B(2,0,0) respectively are taken out of the solid leaving behind spherical cavities as shown figure. Then

The correct options are A the gravitational force due to this object at the origin is zero C the gravitational potential is the same at all points of circle y2+z2=36 D the gravitational potential is the same at all points on the circle y2+z2=4

The correct options are
A the gravitational force due to this object at the origin is zero
C the gravitational potential is the same at all points of circle $y^{2} + z^{2} = 36$
D the gravitational potential is the same at all points on the circle $y^{2} + z^{2} = 4$