In two separate experiments monochromatic light is incident on a single slit. The diagrams show the diffraction patterns obtained on a screen far from the slit. In the top diagram the wavelength of light is \({\lambda _1}\) and the slit width is \({b_1}\). In the bottom diagram the wavelength of light is \({\lambda _2}\) and the slit width is \({b_2}\).

In each experiment the distance between the slit and the screen is the same. Which of the following may be deduced?

A.     \(\frac{{{\lambda _1}}}{{{b_1}}} < \frac{{{\lambda _2}}}{{{b_2}}}\)

B.     \(\frac{{{\lambda _1}}}{{{b_1}}} > \frac{{{\lambda _2}}}{{{b_2}}}\)

C.     \({b_1} < {b_2}\)

D.     \({\lambda _1} > {\lambda _2}\)

A