The value of Planck's constant is `6.63 xx 10^(-34)Js`. The velocity of light is `3.0 xx 10^(8)ms^(-1)`. Which value is closest to the wavelength in nanometers of a quantum of light with frequency `8xx10^(15)s^(-1)`?

Options

A. `2xx10^(-25)`
B. `5xx10^(-18)`
C. `4xx10^(1)`
D. `3xx10^(7)`

Answer

C

Explanation

According to wave theory,
`lambda=(c)/(v)=((3xx10^(8)ms^(-1)))/((8xx10^(15)s^(-1)))`
`=37.5xx10^(-9)m=37.5nm~=4xx10^(1)nm`.