NEET Exam > NEET Questions > A solid sphere of mass ‘M’ and radius ‘a’ is...
Start Learning for Free
A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:
- a)2GM/9α2
- b)GM/9α2
- c)GM/3α2
- d)2GM/3α2
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform ...
Most Upvoted Answer
A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform ...
Gravitational Field due to a Solid Sphere:
The gravitational field at a point outside a solid sphere is equivalent to the gravitational field due to a point mass located at the center of the sphere. The gravitational field at a distance 'r' from the center of the sphere is given by the equation:
E = GM/r^2
where G is the universal gravitational constant, M is the mass of the sphere, and r is the distance from the center of the sphere.
Gravitational Field due to a Concentric Spherical Shell:
The gravitational field inside a uniform spherical shell is zero. This means that the gravitational field due to the shell at any point inside the shell is canceled out by the gravitational field due to the opposite side of the shell.
Gravitational Field at Distance '3a':
In this problem, we have a solid sphere of mass 'M' and radius 'a' surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. We need to find the gravitational field at a distance of '3a' from the center.
- Using the equation for the gravitational field due to a solid sphere, the field due to the solid sphere is given by:
E1 = GM/(3a)^2 = GM/9a^2
- Using the equation for the gravitational field due to a concentric spherical shell, the field due to the shell is zero.
Total Gravitational Field:
The total gravitational field at distance '3a' is the sum of the gravitational fields due to the solid sphere and the shell. Since the field due to the shell is zero, the total field is equal to the field due to the solid sphere.
Therefore, the gravitational field at distance '3a' from the center is:
E = GM/9a^2
Simplifying the equation, we get:
E = GM/(3a)^2
E = GM/3a^2
Thus, the correct answer is option 'C': GM/3a^2.
The gravitational field at a point outside a solid sphere is equivalent to the gravitational field due to a point mass located at the center of the sphere. The gravitational field at a distance 'r' from the center of the sphere is given by the equation:
E = GM/r^2
where G is the universal gravitational constant, M is the mass of the sphere, and r is the distance from the center of the sphere.
Gravitational Field due to a Concentric Spherical Shell:
The gravitational field inside a uniform spherical shell is zero. This means that the gravitational field due to the shell at any point inside the shell is canceled out by the gravitational field due to the opposite side of the shell.
Gravitational Field at Distance '3a':
In this problem, we have a solid sphere of mass 'M' and radius 'a' surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. We need to find the gravitational field at a distance of '3a' from the center.
- Using the equation for the gravitational field due to a solid sphere, the field due to the solid sphere is given by:
E1 = GM/(3a)^2 = GM/9a^2
- Using the equation for the gravitational field due to a concentric spherical shell, the field due to the shell is zero.
Total Gravitational Field:
The total gravitational field at distance '3a' is the sum of the gravitational fields due to the solid sphere and the shell. Since the field due to the shell is zero, the total field is equal to the field due to the solid sphere.
Therefore, the gravitational field at distance '3a' from the center is:
E = GM/9a^2
Simplifying the equation, we get:
E = GM/(3a)^2
E = GM/3a^2
Thus, the correct answer is option 'C': GM/3a^2.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer?
Question Description
A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer? 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 of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer?.
A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer? 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 of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer?.
Solutions for A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the center will be:a)2GM/9α2b)GM/9α2c)GM/3α2d)2GM/3α2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup