Question

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : If Young’s double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer. Reason (R) : The speed of light reduces in an optically denser medium than air while its frequency does not change. In the light of the above statements, choose the most appropriate answer from the options given below :

• A. Both (A) and (R) are true and (R) is the correct explanation of (A)
• B. (A) is false but (R) is true.
• C. Both (A) and (R) are true but (R) is not the correct explanation of (A)
• D. (A) is true but (R) is false.

Hint:

In optical experiments, the wavelength decreases in denser media, affecting the fringe spacing.

Answer 1

The Correct Option is A

The fringe width in Young's double slit experiment is given by: \[ \beta = \frac{\lambda D}{d} \] In a denser medium, the wavelength \( \lambda \) decreases, so the fringe width \( \beta \) also decreases, meaning the fringes come closer. Also, the speed of light in the medium reduces, but the frequency remains constant. Thus, both Assertion (A) and Reason (R) are true, and (R) correctly explains (A). The answer is \( \boxed{(1)} \).