The distance between the slits in a double slit experiment is 5.00 *10^-4 m.A beam of light is shone on the slits.The angular separation between the central maximum and the adjacent maximum is 9.94 * 10^-4 rad.What is the wavelength of the light?

Question

Quizplus · Accepted Answer

The wavelength of the light can be calculated using the formula for the angular separation in a double slit experiment, $\theta = \frac{\lambda}{d}$, where $\theta$ is the angular separation, $\lambda$ is the wavelength, and $d$ is the distance between the slits. Rearranging for $\lambda$, we get $\lambda = \theta \times d$. Substituting the given values, $\lambda = 9.94 \times 10^{-4} \, \text{rad} \times 5.00 \times 10^{-4} \, \text{m} = 497 \times 10^{-9} \, \text{m} = 497 \, \text{nm}$.

The Distance Between the Slits in a Double Slit Experiment