Question

The green light from a traffic signal occurs at a wavelength of 522 nm. What is the frequency of this radiation?

Answer 1

Answer:

$5.75\times 10^{14}$Hz

Explanation:

We are given that

Wavelength of green light=522nm=$522\times 10^{-9}m$

1nm=$10^{-9} m$

We have to find the frequency of this radiation.

We know that

Velocity of light=$3\times 10^8$m/s

$\nu=\frac{c}{\lambda}$

Where $\nu$=Frequency of radiation

c=Velocity of light

$\lambda$=Wavelength of radiation

Using the formula

$\nu=\frac{3\times 10^8}{522\times 10^{-9}}=5.75\times 10^{14}$Hz

Hence, the frequency of radiation=$5.75\times 10^{14}$Hz

Answer 2

Answer:

Frequency of the radiation is $5.747\times 10^{14}\ Hz$

Solution:

As per the question:

Wavelength, $\lambda = 522\ nm = 522\times 10^{- 9}\ m$

Now,

To calculate the frequency of the radiation, use the relation:

$c = \lambda f$                        (1)

where

c = speed of light in vacuum = $3.0\times 10^{8}\ m/s$

f = frequency of the radiation

Use eqn (1):

$f = \frac{c}{\lambda }$

$f = \frac{3.0\times 10^{8}}{522\times 10^{- 9}}$

$f = 5.747\times 10^{14}\ Hz$