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Two spherical conductors of radii 4 cm and 5 cm are charged to the same potential. If σ₁ and σ₂ be the respective values of the surface density of charge on both the conductors, then the ratio σ₁/σ₂ is
  • a)
    5/4
  • b)
    4/5
  • c)
    25/16
  • d)
    16/25
Correct answer is option 'A'. Can you explain this answer?
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The potential of both conductors is the same, it means that the electric potential difference between the two conductors is zero. This implies that the charges on the two conductors are equal in magnitude but opposite in sign.

Let's assume that the charge on the smaller conductor (radius 4 cm) is +Q and the charge on the larger conductor (radius 5 cm) is -Q.

We know that the electric potential due to a point charge is given by V = kQ/r, where V is the electric potential, k is the electrostatic constant, Q is the charge, and r is the distance from the charge.

For the smaller conductor (radius 4 cm), the electric potential is V1 = kQ/4 cm.

For the larger conductor (radius 5 cm), the electric potential is V2 = k(-Q)/5 cm.

Since the potential difference is zero, we have V1 - V2 = 0.

kQ/4 cm - k(-Q)/5 cm = 0.

Simplifying the equation, we get 5kQ - 4kQ = 0.

kQ = 0.

Therefore, the charges on the two conductors are zero, meaning that both conductors are uncharged.
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Two spherical conductors of radii 4 cm and 5 cm are charged to the same potential. If σ and σ be the respective values of the surface density of charge on both the conductors, then the ratio σ/σ isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer?
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Two spherical conductors of radii 4 cm and 5 cm are charged to the same potential. If σ and σ be the respective values of the surface density of charge on both the conductors, then the ratio σ/σ isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. 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 Two spherical conductors of radii 4 cm and 5 cm are charged to the same potential. If σ and σ be the respective values of the surface density of charge on both the conductors, then the ratio σ/σ isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two spherical conductors of radii 4 cm and 5 cm are charged to the same potential. If σ and σ be the respective values of the surface density of charge on both the conductors, then the ratio σ/σ isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer?.
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