Question

An element emits light at a wavelength of 584 nm. What is the energy of the photon with that wavelength?

Write your answer in scientific notation with the appropriate significant figures and unit. The exponent of 10 is written with the carat (^) symbol, so 10^n.


I have already tired writing it as 3.40x10^-19J but was marked wrong.

Answer 1

0.00340239726 ×$10^{-16}$ is the energy of the photon with that wavelength.

What is wavelength?

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

The energy of the photon with that wavelength:

E = hv

E = hc/λ

where v = c/λ

h = 6.625 x $10^{-34}$ Js

c = 3 x $10^8$ m/s

λ = 584 nm. x $10^{-9}$ m (1 nm =$10^{-9}$ m)

Putting the values in the equation:

E = (6.625 x $10^{-34}$ Js x 3 x $10^{8}$ m/s) ÷584 x $10^{-9}$ m

E =  1.9875×$10^{-25}$ ÷ 584 x $10^{-9}$

E = 0.00340239726 ×$10^{-16}$

Hence,  0.00340239726 ×$10^{-16}$ is the energy of the photon with that wavelength.

Learn more about wavelength here:

https://brainly.com/question/19161930

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