Assertion (A): If two spherical conductors of different radii have the same surface charge densities, then their electric field intensities will be equal.
Reason (R ): Surface charge density `=("Total charge")/("area")`

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false

Answer

B

Explanation

`sigma_1=sigma_2impliesq_1/(4pir_1^2)=q_2/(4pir_1^2)impliesq_1/q_2=r_1^2/r_2^2`
`E_1/E_2=(q_1)/(4piepsilon_0r_1^2)xx(4piepsilon_0r_2^2)/(q_2)=r_1^2/r_2^2xxr_2^2/r_1^2=1`
`:. E_1 = E_2`