In Young's double slit experiment, if the wavelength of light used is increased (say from violet to red) then

Question

In Young's double slit experiment, if the wavelength of light used is increased (say from violet to red) then the:

Accepted Answer

1. **Formula:** The fringe width ($\beta$) in Young's Double Slit Experiment is given by the formula:
   $$ \beta = \frac{\lambda D}{d} $$
   where $\lambda$ is the wavelength of light, $D$ is the distance of the screen from the slits, and $d$ is the distance between the slits.
2. **Analysis:** The formula shows that fringe width is directly proportional to the wavelength ($\beta \propto \lambda$).
3. **Application:** Red light has a longer wavelength than violet light ($\lambda_{red} > \lambda_{violet}$). Therefore, if the light source is changed from violet to red (increasing $\lambda$), the fringe width $\beta$ will increase.
4. **Conclusion:** The fringe width increases.

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