Answer:
[tex]0.1[/tex] m
Explanation:
[tex]d[/tex] = slit width = 0.1 mm = 0.1 x 10⁻³ m
[tex]\lambda[/tex] = wavelength of monochromatic light = 500 nm = 500 x 10⁻⁹ m
[tex]D[/tex] = Distance of the screen = 10 m
[tex]w[/tex] = Spacing between successive minima
Spacing between successive minima is given as
[tex]w = \frac{2D\lambda }{d}[/tex]
Inserting the values given
[tex]w = \frac{2(10)(500\times10^{-9}) }{0.1\times10^{-3}}[/tex]
[tex]w = 0.1[/tex] m