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The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside is just as if the entire mass of the shell is
- a)equally concentrated at opposite ends of the diameter of the sphere
- b)equally concentrated at four points on a square of the shell.
- c)equally concentrated at three points on a triangle of the shell.
- d)concentrated at the centre of the shell.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The force of attraction between a hollow spherical shell of uniform de...
According to Shell's theorem, If a particle of mass m is located outside a spherical shell of mass M at, for instance, point P, the shell attracts the particle as though the mass of the shell were concentrated at its centre. Thus, as far as the gravitational force acting on a particle outside the shell is concerned, a spherical shell acts no differently from the solid spherical distributions of mass.
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The force of attraction between a hollow spherical shell of uniform de...
Explanation:
The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside can be determined by considering the shell as a collection of concentric thin spherical shells. Each of these thin shells can be considered as a point mass located at the center of the shell.
Newton's Shell Theorem:
According to Newton's Shell Theorem, the gravitational force exerted by a spherically symmetric mass distribution on a particle located outside the distribution is the same as if the entire mass of the distribution were concentrated at its center.
Applying Newton's Shell Theorem:
In the given scenario, the hollow spherical shell has a uniform density, which means that the mass is distributed uniformly throughout the shell. When a point mass is situated outside the shell, the force of attraction between the shell and the point mass can be calculated by considering the shell as a point mass located at the center of the shell.
This is because the gravitational force depends only on the mass and distance between the objects, not on the distribution of mass within the objects. Therefore, the force of attraction between the shell and the point mass will be the same as if the entire mass of the shell were concentrated at the center of the shell.
Conclusion:
Hence, the correct answer is option 'D' - the force of attraction is concentrated at the center of the shell.
The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside can be determined by considering the shell as a collection of concentric thin spherical shells. Each of these thin shells can be considered as a point mass located at the center of the shell.
Newton's Shell Theorem:
According to Newton's Shell Theorem, the gravitational force exerted by a spherically symmetric mass distribution on a particle located outside the distribution is the same as if the entire mass of the distribution were concentrated at its center.
Applying Newton's Shell Theorem:
In the given scenario, the hollow spherical shell has a uniform density, which means that the mass is distributed uniformly throughout the shell. When a point mass is situated outside the shell, the force of attraction between the shell and the point mass can be calculated by considering the shell as a point mass located at the center of the shell.
This is because the gravitational force depends only on the mass and distance between the objects, not on the distribution of mass within the objects. Therefore, the force of attraction between the shell and the point mass will be the same as if the entire mass of the shell were concentrated at the center of the shell.
Conclusion:
Hence, the correct answer is option 'D' - the force of attraction is concentrated at the center of the shell.
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The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside is just as if the entire mass of the shell isa)equally concentrated at opposite ends of the diameter of the sphereb)equally concentrated at four points on a square of the shell.c)equally concentrated at three points on a triangle of the shell.d)concentrated at the centre of the shell.Correct answer is option 'D'. Can you explain this answer?
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The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside is just as if the entire mass of the shell isa)equally concentrated at opposite ends of the diameter of the sphereb)equally concentrated at four points on a square of the shell.c)equally concentrated at three points on a triangle of the shell.d)concentrated at the centre of the shell.Correct answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside is just as if the entire mass of the shell isa)equally concentrated at opposite ends of the diameter of the sphereb)equally concentrated at four points on a square of the shell.c)equally concentrated at three points on a triangle of the shell.d)concentrated at the centre of the shell.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside is just as if the entire mass of the shell isa)equally concentrated at opposite ends of the diameter of the sphereb)equally concentrated at four points on a square of the shell.c)equally concentrated at three points on a triangle of the shell.d)concentrated at the centre of the shell.Correct answer is option 'D'. Can you explain this answer?.
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