In a single slit diffraction experiment, for wavelength ' ', half angular width of the principal maxima is ' '. Also for wavelength of light ' p ', the half angular width of the principal maxima is ' q '. The ratio of the half angular widths of the first secondary maxima in the first case to second case will be

Step-by-step solution

For a single slit diffraction experiment, the half angular width of the principal maximum for a wavelength is given by = a , where a is the slit width. For a wavelength p , the half angular width of the principal maximum is given as q . Therefore, q = p a = p ( a ) = p , which implies q = p . The angular width of the first secondary maximum is the angular separation between the first minimum and the second minimum. For wavelength , the angular width of the first secondary maximum is 2 a - a = a = . The half angular