32.0k views
2 votes
Assume that wave #1 has a wavelength of 699 nm. Calculate the frequency and energy of the wave (show your work).

User Pinegulf
by
5.9k points

2 Answers

7 votes
Answers are inside of the boxes
Assume that wave #1 has a wavelength of 699 nm. Calculate the frequency and energy-example-1
User Rayhane Mama
by
6.8k points
4 votes

Answer : The frequency of photon is,
4.29* 10^(14)Hz and energy of wave is
2.84* 10^(-19)J

Explanation : Given,

Wavelength of wave =
699nm=699* 10^(-9)m

First we have to calculate the frequency of wave.

Formula used :


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

where,


\\u = frequency of wave


\lambda = wavelength of wave

c = speed of light =
3* 10^8m/s

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


\\u=(3* 10^8m/s)/(699* 10^(-9)m)


\\u=4.29* 10^(14)s^(-1)=4.29* 10^(14)Hz
(1Hz=1s^(-1))

The frequency of wave is,
4.29* 10^(14)Hz

Now we have to calculate the energy of wave.

Formula used :


E=h* \\u

where,


\\u = frequency of wave

h = Planck's constant =
6.626* 10^(-34)Js

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


E=(6.626* 10^(-34)Js)* (4.29* 10^(14)s^(-1))


E=2.84* 10^(-19)J

Thus, the energy of wave is
2.84* 10^(-19)J

User Charles Brunet
by
5.9k points