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A certain shade of blue has a frequency of 7.02 × 1014 Hz. What is the energy of exactly one photon of this light?

Verified Answer :

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 \(4.65\times 10^{-19}J\)