Question

What is the wavelength of a photon with an energy of 3.38 x 10-19 J?

A. 416 nm
B. 510 nm
C. 588 nm
D. 460 nm

Answer 1

C. 588

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Answer 2

C. 588 nm

Step-by-step explanation:

Given parameters:

Energy of the photon = 3.38 x 10⁻¹⁹J

Unknown:

Wavelength of the photon = ?

Solution:

The energy of a photon can be expressed as;

E =
`(hc)/(wavelength)`

hc = E x wavelength

Wavelength =
`(hc )/(E)`

h is the Planck's constant = 6.63 x 10⁻³⁴m²kg/s

c is the speed of light = 3 x 10⁸m/s

E is the energy

Wavelength =
`(6.63 x 10^(-34) x 3 x 10^(8) )/(3.38 x 10^(-19) )` = 5.89 x 10⁻⁷m