Question

Violet light has a frequency of 7.26 * 1014 Hz and travels at a speed of 3.00 * 108 m/s.

The wavelength of violet light, rounded to the nearest nanometer, is
nm.

Answer 1

c=λν

3*10^8 m/s * 10^9 nm/m / 7.26*10^14 s^-1= λ

=413.22 nm

λ=413 nm

Answer 2

Answer : The wavelength of violet light is, 413 nm

Explanation :

Formula used :

`\\u=(c)/(\lambda)`

where,

`\\u` = frequency of violet light =
`7.26* 10^(14)Hz=7.26* 10^(14)s^(-1)`

As we know that,
`Hz=s^(-1)`

`\lambda` = wavelength of violet light

c = speed of light =
`3.00* 10^8m/s`

Now put all the given values in the above formula, we get:

`7.26* 10^(14)s^(-1)=(3.00* 10^8m/s)/(\lambda)`

`\lambda=(3.00* 10^8m/s)/(7.26* 10^(14)s^(-1))`

`\lambda=4.13* 10^(-7)m=4.13* 10^(-7)* 10^9nm=413nm`

conversion used :
`1m=10^9nm`

Therefore, the wavelength of violet light is, 413 nm