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

Answer

A

Explanation

(a) Frequency (v) `=(c)/(lambda)=(3xx10^(8) ms^(-1))/(8xx10^(15) s^(-1))`
`=0.375xx10^(-7)m`
`=3.75xx10^(1) nm ~~ 4xx10^(1)`nm