JEE Exam  >  JEE Questions  >  Two spherical conductors of radii 4 cm and 5 ... Start Learning for Free
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?
Most Upvoted Answer
Two spherical conductors of radii 4 cm and 5 cm are charged to the sam...
Given: Radii of two spherical conductors are 4 cm and 5 cm, charged to the same potential.

To find: Ratio of surface density of charge σ₁/σ₂

Let the charge on the conductors be Q₁ and Q₂ respectively.

According to the formula for potential of a charged sphere, V = kQ/r, where k is Coulomb's constant, Q is the charge on the sphere and r is its radius.

Since both spheres are at the same potential, we have:

kQ₁/4 = kQ₂/5

Simplifying, we get:

Q₁/Q₂ = 5/4

Now, we know that the surface area of a sphere is given by 4πr².

Let σ₁ and σ₂ be the surface density of charge on both the conductors. Then we have:

Q₁ = 4πr₁²σ₁

Q₂ = 4πr₂²σ₂

Dividing Q₁ by Q₂, we get:

σ₁/σ₂ = Q₁/(4πr₁²) / Q₂/(4πr₂²)

Substituting the value of Q₁/Q₂, we get:

σ₁/σ₂ = (5/4)(r₂/r₁)²

Substituting the given values of r₁ and r₂, we get:

σ₁/σ₂ = (5/4)(5/4)² = 5/4

Therefore, the ratio of surface density of charge on both the conductors is 5/4.

Answer: Option A
Free Test
Community Answer
Two spherical conductors of radii 4 cm and 5 cm are charged to the sam...
Explore Courses for JEE exam

Similar JEE Doubts

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 isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer?
Question Description
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 isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. 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 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 isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 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 σ₁ and σ₂ be the respective values of the surface density of charge on both the conductors, then the ratio σ₁/σ₂ isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer?.
Solutions for 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 isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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 isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 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 isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 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 isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 isa)5/4b)4/5c)25/16d)16/25Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev