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. `3 xx 10^(7)`
B. `2 xx 10^(25)`
C. `5 xx 10^(-18)`
D. `4 xx 10^(1)`

Answer

D

Explanation

`v = 8 xx 10^(15) s^(-1)`
`lambda = (c )/(v) =(3 xx 10^(8) ms^(-1))/(8 xx 10^(15) s^(-1))`
`= 3.75 xx 10^(-8) m`
`= 3.75 xx 10^(1) nm ~~ 4 xx 10^(1) nm`