In biprism experiment, if $5^{ ext {th }}$ bright band with wavelength ${ }^{\prime} \lambda_{1}{ }^{\prime}$ coincides with $6^{ ext {th }}$ dark band with wavelength $^{\prime} \lambda_{2}$ ' then the ratio $\left(\frac{\lambda_{2}}{\lambda_{1}} ight)$ is

Question

In biprism experiment, if $5^{	ext {th }}$ bright band with wavelength ${ }^{\prime} \lambda_{1}{ }^{\prime}$ coincides with $6^{	ext {th }}$ dark band with wavelength $^{\prime} \lambda_{2}$ ' then the ratio $\left(\frac{\lambda_{2}}{\lambda_{1}}ight)$ is

Aicharya · Accepted Answer

$y_{5}=\frac{5 \lambda_{1} D}{d}$ $y_{6}^{\prime}=\frac{11 \lambda_{2} D}{2 d}$ $5 \lambda_{1}=\frac{11 \lambda_{2}}{2}$ $\frac{\lambda_{1}}{\lambda_{2}}=\frac{11}{10}$ $\therefore \frac{\lambda_{2}}{\lambda_{1}}=\frac{10}{11}$

In biprism experiment, if $5^{\text {th }}$ bright band with wavelength ${ }^{\prime} \lambda_{1}{…

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