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  • In young's  double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the

In young's  double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:
Option: 1 30
Option: 2 28
Option: 3     18
Option: 4 24

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\begin{array}{l} y=\frac{D \lambda}{d} \\ \text { or } n_{1} \frac{D \lambda_{1}}{d}=n_{2} \frac{D \lambda_{2}}{d} \\ n_{1} \lambda_{1}=n_{2} \lambda_{2} \\ \frac{n_{1}}{n_{2}}=\frac{\lambda_{2}}{\lambda_{1}} \\ n_{2}=n_{1} \cdot \frac{\lambda_{1}}{\lambda_{2}} \Rightarrow 16 \times \frac{700}{400}=28 \end{array}

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