Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : In Young’s double slit experiment, the fringes produced by red light are closer as compared to those produced by blue light.
Reason (R) : The fringe width is directly proportional to the wavelength of light. 

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

Concepts:

Young's Double Slit Experiment:

In the experiment, the fringe width ($w$) is given by:

• $$w = \frac{\lambda D}{d}$$

where:

• $\lambda$ is the wavelength of light,
• $D$ is the distance between the slits and the screen,
• $d$ is the distance between the two slits.

From the formula, the fringe width ($w$) is directly proportional to the wavelength ($\lambda$) of the light used.

Colors of Light:

• Red light has a longer wavelength compared to blue light ($\lambda_\text{red} > \lambda_\text{blue}$).
• As $w \propto \lambda$, the fringe width for red light will be larger, and the fringes for red light will be farther apart compared to blue light.

Analyzing Statements:

Assertion (A):

• The assertion states that the fringes produced by red light are closer compared to those produced by blue light. This is incorrect because the fringe width for red light is larger than that for blue light.

Reason (R):

• The reason correctly states that the fringe width is directly proportional to the wavelength of light. This statement is correct, but it does not support the incorrect assertion.