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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 in fig Then :
  • a)
    The gr av it ation al force due to this object at the origin is zero.
  • b)
    the gravitational force at the point B (2, 0 ,0) 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.
Correct answer is option 'A,C,D'. Can you explain this answer?
Verified Answer
A solid sphere of uniform density and radius 4 units is located with i...
The gravitational field intensity at the point O is zero (as the cavities are symmetrical with respect to O). Now the force acting on a test mass m0 placed at O is given by
F = m0 E = m0 × 0 = 0
Now, y2 + z2 = 36 represents the equation of a circle with centre (0, 0, 0) and radius 6 units the plane of the circle is perpendicular to x-axis.
Note :  Since the spherical mass distribution behaves as if the whole mass is at its centre (for a point outside on the sphere) and since all the points on the circle is equidistant from the centre of the sphere, the circle is a gravitational equipotential.
The same logic holds good for option (d).
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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 in fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer?
Question Description
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 fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer?.
Solutions for 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 fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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 fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer?, a detailed solution for 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 fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer? has been provided alongside types of 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 fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 fig Then :a)The gr av it ation al force due to this object at the origin is zero.b)the gravitational forceat the point B (2, 0 ,0)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.Correct answer is option 'A,C,D'. Can you explain this answer? tests, examples and also practice JEE tests.
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