Class 12 Exam > Class 12 Questions > Three concentric metallic spherical shells of...
Start Learning for Free
Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, is
- a)it is 1:03:05
- b)it is 1:02:03
- c)it is 1:04:09
- d)it is 1:08:18
Correct answer is 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Three concentric metallic spherical shells of radii R, 2R, 3R, are giv...
Since the charge goes to outer surface when given inside so the charges on concentri shells are respectively.
Q1, Q1 + Q2, Q1 + Q2 + Q3. Sine their charge densities are equal so σ1 = σ2 = σ3
So Q1 = 3Q2 = 5Q3 so 1 : 3 : 5
Most Upvoted Answer
Three concentric metallic spherical shells of radii R, 2R, 3R, are giv...
Given: Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. The surface charge densities on the outer surfaces of the shells are equal.
To find: The ratio of the charges given to the shells, Q1: Q2: Q3.
Solution:
Let σ be the surface charge density on each of the outer surfaces of the shells.
Charge on a spherical shell = Surface charge density × Area of the shell
Area of a spherical shell with radius r is given by 4πr²
Therefore, charges on the shells are:
Q1 = σ × 4πR²
Q2 = σ × 4π(2R)² = σ × 16πR²
Q3 = σ × 4π(3R)² = σ × 36πR²
Since the surface charge densities on the outer surfaces of the shells are equal, we have:
σ = Q1/(4πR²) = Q2/(16πR²) = Q3/(36πR²)
So, Q2/Q1 = 16πR²/4πR² = 4 and Q3/Q1 = 36πR²/4πR² = 9
Therefore, Q1: Q2: Q3 = 1:4:9
Hence, the correct answer is option (a) 1:03:05.
To find: The ratio of the charges given to the shells, Q1: Q2: Q3.
Solution:
Let σ be the surface charge density on each of the outer surfaces of the shells.
Charge on a spherical shell = Surface charge density × Area of the shell
Area of a spherical shell with radius r is given by 4πr²
Therefore, charges on the shells are:
Q1 = σ × 4πR²
Q2 = σ × 4π(2R)² = σ × 16πR²
Q3 = σ × 4π(3R)² = σ × 36πR²
Since the surface charge densities on the outer surfaces of the shells are equal, we have:
σ = Q1/(4πR²) = Q2/(16πR²) = Q3/(36πR²)
So, Q2/Q1 = 16πR²/4πR² = 4 and Q3/Q1 = 36πR²/4πR² = 9
Therefore, Q1: Q2: Q3 = 1:4:9
Hence, the correct answer is option (a) 1:03:05.
Free Test
FREE
| Start Free Test |
Community Answer
Three concentric metallic spherical shells of radii R, 2R, 3R, are giv...
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer?
Question Description
Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer?.
Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer?.
Solutions for Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer?, a detailed solution for Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer? has been provided alongside types of Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1: Q2: Q3, isa)it is 1:03:05b)it is 1:02:03c)it is 1:04:09d)it is 1:08:18Correct answer is 'A'. Can you explain this answer? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup