Two spheres have their surface charge densities in the ratio of 2 :3 and their radii 3 :2. The ratio of the charges on them is:
A. 3:2 B. 4:2 C. 2:3 D. 2:4
Answers
Given: Two spheres have their surface charge densities in the ratio of 2 :3
their radii 3 :2.
To Find : The ratio of the charges on them
Solution:
Surface charge density (σ) is the quantity of charge per unit area
Two spheres have their surface charge densities in the ratio of 2 :3
2k and 3k
radii 3 :2
3r and 2r
Surface are of sphere = 4πR²
Surface are of sphere with radius 3r = 4π(3r)² = 9(4πr²)
Surface are of sphere with radius 2r = 4π(2r)² = 4(4πr²)
σ = Q/Area
Q = σ * area
Charge on sphere with radius 3r = 2k * 9(4πr²) = 3(24kπr²)
Charge on sphere with radius 2r = 3k * 4(4πr²) = 2(24kπr²)
ratio of the charges on them is: 3(24kπr²) : 2(24kπr²)
=> ratio of the charges on them is: 3 : 2
The ratio of the charges on them is: A. 3:2
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Answer:
A. 3:2
Explanation:
Easy to understand
it can understand by just seeing the solution only.
