A certain shade of blue has a frequency of 7.00 × 1014 Hz. What is the energy of exactly one photon of this light?

Verified Answer :

Energy = Planck's constant Frequency 

E = (6.62607004 × 10⁻³⁴)
7 10¹⁴

E = 46.38
10⁻²⁰

E = 4.638 * 10⁻¹⁹ J

Hope this helps!

Answer : The energy of exactly one photon of this light is \(4.64\times 10^{-19}J\)

Explanation : Given,

Frequency of blue light = \(7.00\times 10^{14}Hz=7.00\times 10^{14}s^{-1}\)

Formula used :

\(E=h\times u\)

where,

\(u\) = frequency of light

h = Planck's constant = \(6.626\times 10^{-34}Js\)

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

\(E=(6.626\times 10^{-34}Js)\times (7.00\times 10^{14}s^{-1})\)

\(E=4.64\times 10^{-19}J\)

Therefore, the energy of exactly one photon of this light is \(4.64\times 10^{-19}J\)