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NEET
Exam
NEET
Subject
Physics
Chapter
Magnetic Properties of Matter

NEET · Physics · Magnetic Properties of Matter

Given below are two statements: one is labelled as Assertion (A)...

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): When an electromagnetic wave travels from vacuum into a non-magnetic dielectric medium, its propagation speed (E0/B0E_0/B_0) decreases but the ratio of electric field amplitude to magnetic intensity amplitude (E0/H0E_0/H_0) increases.

Reason (R): For a non-magnetic dielectric medium, relative permeability is 11 and relative permittivity is greater than 11, making both 1με\dfrac{1}{\sqrt{\mu\varepsilon}} and με\sqrt{\dfrac{\mu}{\varepsilon}} smaller than their respective vacuum values.

In the light of the above statements, choose the most appropriate answer from the options given below:

Options

  1. ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. C(A) is correct but (R) is not correct
  4. D(A) is not correct but (R) is correct

Correct answer

D. (A) is not correct but (R) is correct

Step-by-step solution

The propagation speed of an electromagnetic wave is given by v=E0B0=1μεv = \dfrac{E_0}{B_0} = \dfrac{1}{\sqrt{\mu\varepsilon}}.
The ratio of electric field amplitude to magnetic intensity amplitude (wave impedance) is given by E0H0=με\dfrac{E_0}{H_0} = \sqrt{\dfrac{\mu}{\varepsilon}}.

For a non-magnetic dielectric medium, the relative permeability μr=1\mu_r = 1 (so μ=μ0\mu = \mu_0) and the relative permittivity εr>1\varepsilon_r > 1 (so ε>ε0\varepsilon > \varepsilon_0).

Substituting these values, the speed becomes v=1μ0ε0εrv = \dfrac{1}{\sqrt{\mu_0 \varepsilon_0 \varepsilon_r}}, which is less than the speed in vacuum (c=1μ0ε0c = \dfrac{1}{\sqrt{\mu_0 \varepsilon_0}}). Thus, the propagation speed decreases.

Similarly, the ratio E0H0\dfrac{E_0}{H_0} becomes μ0ε0εr\sqrt{\dfrac{\mu_0}{\varepsilon_0 \varepsilon_r}}, which is less than the vacuum value (μ0ε0\sqrt{\dfrac{\mu_0}{\varepsilon_0}}). Thus, the ratio of electric field to magnetic intensity also decreases.

Therefore, the Assertion is incorrect because it states that the ratio E0/H0E_0/H_0 increases. The Reason is correct as it accurately states that both quantities become smaller than their vacuum values.

Answer: (A) is not correct but (R) is correct
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