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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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,
- a)the gravitational field due to this object at the origin is zero
- b)the gravitational field at the point B (2, 0, 0) is zero
- c)the gravitational potential is same at all points of the circle y2 + z2 = 36
- d)the gravitational potential is same at all points on the circle y2 + z2 = 4
Correct answer is option 'A,C,D'. Can you explain this answer?
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A solid sphere of uniform density and radius 4 units is located with ...
Due to the solid sphere of a uniform density, gravitational field is zero at the centre of the sphere. The cavities A and B can be treated as negative masses and they are situated on opposite sides of the centre O. Hence, gravitational forces exerted by the cavity masses on a mass at O are opposite in direction. Hence, resultant force on mass at O is zero. Thus, gravitational force due to this object at the origin O is zero.
Consider a circle y2 + z2 = 36; the centre of the circle is (0,0,0) and the radius of the circle is 6 units. The circle lies in y-z plane. For the point outside the sphere or situated at the sphere, the mass of the sphere can be assumed to be situated at the centre. All the points of the circle y2 + z2 = 36 are equidistant from the centre; hence, gravitational potential is same at all the points in the given circle.
Consider the circle y2 + z2 = 4; its centre lies at (0, 0, 0) and the radius is 2 units. It lies in y-z plane perpendicular to x-axis. All the points of the circle y2 + z2 = 4 are equidistant from the centre; hence, gravitational potential is same at all the points in the given circle.
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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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct answer is option 'A,C,D'. Can you explain this answer?
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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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct 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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct 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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct answer is option 'A,C,D'. Can you explain this answer?.
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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct 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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct 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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct 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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct answer is option 'A,C,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct 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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct 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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct 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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct 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 respectively at A (-2, 0, 0) and B (2, 0, 0), are taken out of the solid leaving behind spherical cavities as shown in the figure. Then,a)the gravitational field due to this object at the origin is zerob)the gravitational field at the point B (2, 0, 0) is zeroc)the gravitational potential is same at all points of the circle y2 + z2 = 36d)the gravitational potential is same at all points on the circle y2 + z2 = 4Correct answer is option 'A,C,D'. Can you explain this answer? tests, examples and also practice JEE tests.
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