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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)
    1 : 2 : 3
  • b)
    1 : 3 : 5
  • c)
    1 : 4 : 9
  • d)
    1 : 8 : 18
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three concentric metallic spherical shells of radii R, 2R, 3R, are giv...
The charges on the surfaces of the metallic spheres are shown in the diagram. It is given that the surface charge densities on the outer surfaces of the shells are equal.
Therefore

Q1 + Q2 = 4π(2R)2k = 4[4πR2x]
⇒ Q2 = 4[4πR2 x] - Q1
= 4[4πR2x] -4πR2x = 3[4πR2x]
Also Q1 + Q2+ Q3 = 4π(3R)2 x = 9[4πR2x]
∴ Q3 = 9[4πR2x] - Q1 - Q2 = 9[4πR2x] - [4πR2x] -3[4πR2x] = 5[4πR2x]
⇒ Q1 : Q2 :Q3 = 1 :3 :5
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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)1 : 2 : 3b)1 : 3 : 5c)1 : 4 : 9d)1 : 8 : 18Correct answer is option 'B'. Can you explain this answer?
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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)1 : 2 : 3b)1 : 3 : 5c)1 : 4 : 9d)1 : 8 : 18Correct answer is option 'B'. 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 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)1 : 2 : 3b)1 : 3 : 5c)1 : 4 : 9d)1 : 8 : 18Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 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)1 : 2 : 3b)1 : 3 : 5c)1 : 4 : 9d)1 : 8 : 18Correct answer is option 'B'. Can you explain this answer?.
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