A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness 4 cm is the same as in water column of height 5 ~cm . If refractive index of glass is 5 3 , then refractive index of water is

Step-by-step solution

If the number of waves in N , then the wavelength in water is 5 ~N ~cm and wavelength in glass is 4 ~N ~cm . aligned & _ w = 5 ~N , _ g = 4 n & _ w _ g = _ w _ g = 5 4 & _ g _ w = 5 4 & _ w = 4 5 _ g = 4 5 5 3 = 4 3 =1.33 aligned