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(D) The fringe width is given by $\beta = \frac{\lambda D}{d}$. Since $\beta \propto \lambda$,a larger wavelength results in a larger fringe width. Th

Vedclass · Accepted Answer

All of the above.

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(D) The fringe width is given by $\beta = \frac{\lambda D}{d}$. Since $\beta \propto \lambda$,a larger wavelength results in a larger fringe width. Thus,statement $A$ is correct.At the position of the central maxima,the path difference $\Delta x = 0$. This condition is independent of the wavelength of light used,meaning all wavelengths will form their central maxima at the same point. Thus,statement $B$ is correct.The position of the $n^{th}$ maxima is given by $y_n = \frac{n \lambda D}{d}$. For the first maxima $(n=1)$,$y_1 = \frac{\lambda D}{d}$. Since the wavelength of violet light $(\lambda_V)$ is smaller than that of red light $(\lambda_R)$,the first maxima for violet light will be formed closer to the central maxima than for other colours. Thus,statement $C$ is correct.Since all statements $A$,$B$,and $C$ are correct,the correct option is $D$.

The figure shows a schematic diagram of the arrangement of Young's Double Slit Experiment. Choose the correct statement$(s)$ related to the wavelength of light used.

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