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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The speed of light in a transparent material medium is always less than its speed in vacuum. Reason (R): For any transparent material medium, the product of its relative permittivity and relative permeability is always less than 1. In the light of the above statements, choose the most appropriate a

Options

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

Correct answer

C. (A) is true but (R) is false.

Step-by-step solution

The speed of light in a medium is given by v = c _r _r , where c is the speed of light in vacuum, _r is the relative permeability, and _r is the relative permittivity of the medium. For any transparent material medium, the relative permittivity (dielectric constant) _r > 1 and relative permeability _r 1 (for non-magnetic materials) or slightly different, making their product _r _r > 1 . Since the denominator is greater than 1, the speed of light in the medium v is always less than c . Thus, the Assertion is true. T

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