Find the ratio of frequency of violet light `(lambda_(1) = 4.10 xx %^(-5) cm)` to that of red light `(lambda_(2) = 6.56 xx 10^(-5) cm)` Also determine the ratio of energies carried by them

Explanation

Using `c= v lambda`
where c is speed of light v is frequency `lambda` is wavelength `(v_(1))/(v_(2)) = lambda_(2)/(lambda_(1)) [1 : "violet and 2 : red"]`
`rArr (v_(1))/(v_(2)) = (6.56 xx 10^(-5))/(4.10 xx 10^(-5)) = 1.6: 1`
Now the energy assciated with electromagnitic radiation is given by `E = hv` .THerefore
`(E_(1))/(E_(2)) = (v_(1))/(v_(2)) = (lambda_(1))/(lambda_(2)) = 1.6 : 1`
Hence the ratio of energies is same as that of frequencies.