NEETPhysicsElectromagnetic Waves
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): For an electromagnetic wave propagating in a non-magnetic medium with relative permittivity _r = 4 , if the electric field amplitude is E₀ , the corresponding magnetic field amplitude is B₀ = E₀ 2c (where c is the speed of light in vacuum). Reason (R): The speed of an electromagnetic wave in a medi
Options
- ABoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
- BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
- CAssertion (A) is true but Reason (R) is false
- DAssertion (A) is false but Reason (R) is true
Correct answer
D. Assertion (A) is false but Reason (R) is true
Step-by-step solution
The speed of an electromagnetic wave in a medium is given by v = c _r _r . For a non-magnetic medium, the relative permeability _r = 1 . Given _r = 4 , the speed of the wave is v = c 1 4 = c 2 . The amplitudes of the electric and magnetic fields are related by E₀ = v B₀ . Substituting the value of v , we get E₀ = ( c 2 ) B₀ , which gives B₀ = 2E₀ c . The Assertion incorrectly states that B₀ = E₀ 2c . The Reason correctly states the standard formulas for wave speed and the amplitude relation. Therefore, Assertion (A