A certain shade of blue has a frequency of 7.02 × 1014 Hz. What is the energy of exactly one photon of this light?
The energy (E) per photon is expressed by Planck's equation: E = hf, where f is
the frequency and h is Planck's constant, experimentally determined to be
6.625 10-34 joule-seconds. So to find E, we multiply h by the frequency
and obtain E = hf = (6.625 10*-34)(7.0 10*14) = 46.375 10*-20 joule
or in standard notation, E = 4.6375 10**-19 joule per photon.
Hope this answers your question.Sorry if I calculated wrong.
Answer : The energy of one photon is \(4.65\times 10^{-19}J\)
Explanation : Given,
Frequency of blue light = \(7.02\times 10^{14}Hz=7.02\times 10^{14}s^{-1}\)
Formula used :
\(E=h u\)
where,
\(u\) = frequency of blue light
h = Planck's constant = \(6.626\times 10^{-34}Js\)
E = energy of one photon = ?
Now put all the given values in the above formula, we get:
\(E=(6.626\times 10^{-34}Js)\times (7.02\times 10^{14}s^{-1})\)
\(E=4.65\times 10^{-19}J\)
Therefore, the energy of one photon is \(4.65\times 10^{-19}J\)