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) : 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 the above statements, choose the correct answer from the options given below :

Options

ABoth $(\mathbf{A})$ and $(\mathbf{R})$ are true but $(\mathbf{R})$ is NOT the correct explanation of $(\mathbf{A})$
B(A) is true but (R) is false
CBoth (A) and (R) are true and (R) is the correct explanation of (A)
D(A) is false but (R) is true

Correct answer

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

Step-by-step solution

\begin{aligned} & \beta=\frac{\lambda D}{d} \\ & \lambda_{\text{red }} < \lambda_{\text{blue }} \end{aligned}

Assertion is false Reason is true

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