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A solid sphere is placed in vaccum. It is given a small charge. Due to the sphere, the gravitation acceleration at the distance x from the centre ( inside the sphere) is ? a) zero b) proportional to x c) proportional to x² d) inversely proportional to x?
Most Upvoted Answer
A solid sphere is placed in vaccum. It is given a small charge. Due to...
Solution:
Gravitational acceleration due to a solid sphere is given by:
g = (G*M*x)/R³
where,
G = Gravitational constant
M = Mass of the sphere
R = Radius of the sphere
x = Distance from the center of the sphere
1. When x < r="" (inside="" the="" />
If we assume that the charge given to the sphere is uniformly distributed, then the electric field inside the sphere is zero. Therefore, the gravitational acceleration inside the sphere is also zero. Therefore, the correct option is (a) zero.
2. When x > R (outside the sphere):
If we assume that the charge given to the sphere is uniformly distributed, then the electric field outside the sphere is given by:
E = (1/4πε₀) * (Q/R²)
where,
ε₀ = Permittivity of free space
Q = Charge on the sphere
The gravitational acceleration outside the sphere is given by:
g = (G*M)/x²
Therefore, the correct option is (d) inversely proportional to x.
Note: The gravitational acceleration inside the sphere is zero because the mass distribution inside the sphere is spherically symmetric and the gravitational forces due to all parts of the sphere cancel out at any point inside the sphere.
Gravitational acceleration due to a solid sphere is given by:
g = (G*M*x)/R³
where,
G = Gravitational constant
M = Mass of the sphere
R = Radius of the sphere
x = Distance from the center of the sphere
1. When x < r="" (inside="" the="" />
If we assume that the charge given to the sphere is uniformly distributed, then the electric field inside the sphere is zero. Therefore, the gravitational acceleration inside the sphere is also zero. Therefore, the correct option is (a) zero.
2. When x > R (outside the sphere):
If we assume that the charge given to the sphere is uniformly distributed, then the electric field outside the sphere is given by:
E = (1/4πε₀) * (Q/R²)
where,
ε₀ = Permittivity of free space
Q = Charge on the sphere
The gravitational acceleration outside the sphere is given by:
g = (G*M)/x²
Therefore, the correct option is (d) inversely proportional to x.
Note: The gravitational acceleration inside the sphere is zero because the mass distribution inside the sphere is spherically symmetric and the gravitational forces due to all parts of the sphere cancel out at any point inside the sphere.
Community Answer
A solid sphere is placed in vaccum. It is given a small charge. Due to...
It is inversly proportional to x²
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A solid sphere is placed in vaccum. It is given a small charge. Due to the sphere, the gravitation acceleration at the distance x from the centre ( inside the sphere) is ? a) zero b) proportional to x c) proportional to x² d) inversely proportional to x?
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A solid sphere is placed in vaccum. It is given a small charge. Due to the sphere, the gravitation acceleration at the distance x from the centre ( inside the sphere) is ? a) zero b) proportional to x c) proportional to x² d) inversely proportional to x? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A solid sphere is placed in vaccum. It is given a small charge. Due to the sphere, the gravitation acceleration at the distance x from the centre ( inside the sphere) is ? a) zero b) proportional to x c) proportional to x² d) inversely proportional to x? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid sphere is placed in vaccum. It is given a small charge. Due to the sphere, the gravitation acceleration at the distance x from the centre ( inside the sphere) is ? a) zero b) proportional to x c) proportional to x² d) inversely proportional to x?.
A solid sphere is placed in vaccum. It is given a small charge. Due to the sphere, the gravitation acceleration at the distance x from the centre ( inside the sphere) is ? a) zero b) proportional to x c) proportional to x² d) inversely proportional to x? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A solid sphere is placed in vaccum. It is given a small charge. Due to the sphere, the gravitation acceleration at the distance x from the centre ( inside the sphere) is ? a) zero b) proportional to x c) proportional to x² d) inversely proportional to x? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid sphere is placed in vaccum. It is given a small charge. Due to the sphere, the gravitation acceleration at the distance x from the centre ( inside the sphere) is ? a) zero b) proportional to x c) proportional to x² d) inversely proportional to x?.
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