Find the intensities of the first three secondary maxima in the single-slit diffraction pattern, measured relative to the intensity of the central maximum

Explanation

To find the intensities of the first three secondary maxima in a single-slit diffraction pattern relative to the intensity of the central maximum, we will use the formula for intensity in a single-slit diffraction pattern:

\[ I(\beta) = I_0 \cdot \left( \frac{\sin(\beta/2)}{\beta/2} \right)^2 \]

where \( \beta = \frac{a \cdot \sin(\theta)}{\lambda} \) and \( I_0 \) is the intensity of the central maximum.

...