Velocity of light in diamond is ( 5 12 )^ th times that in air. Velocity of light in water is ( 3 4 )^ th times that in air. The angle of incidence of ray of light travelling from water to diamond is (angle of refraction .(r)=30^ ) . Given . 30^ = 1 2

Step-by-step solution

Given, v _ d = 5 12 c v _ d c = 5 12 and v _ w = 3 4 c v _ w c = 3 4 _w n _ d = n _ d n _ w = c v _ d c v_ w = 12 5 4 3 = 12 5 3 4 = 9 5 Using, _w n _ d = i r aligned & i= _w n_d r= 9 5 30^ = 9 5 1 2 = 9 10 & i= ⁻¹ ( 9 10 ) aligned