0.04 ~m of glass contains the same number of waves as 0.05 ~m of water, when monochromatic light passes through them normally. Refractive index of water is 4 / 3 . Refractive index of glass is

Step-by-step solution

If n be the number of waves, then wavelength of light in glass, _ g = 0.04 n and wavelength of light in water, _ w = 0.05 n Speed of light in glass, v_ g = _ g f= 0.04 f n where, f= frequency of light. Similarly, speed of light in water, v_ w = _ w f= 0.05 f n Relative refractive index aligned &= _ w _ g = v_ g v_ w = 0.04 f n &= 5 4 _ w = 5 4 4 3 = 5 3 aligned