Question

Calculate the energy of the violet light emitted by a hydrogen atom with a wavelength of 410.1 nm.

a. 1.23 × 10-19 J

b. 8.13 × 10-19 J

c. 4.85 × 10-19 J

d. 2.06 × 10-19 J

e.5.27 x 10-19 J

Answer 1

4.85 x 10⁻¹⁹J

Step-by-step explanation:

Given parameters:

Wavelength = 410.1nm

Unknown:

The energy of the violet light = ?

Solution:

The energy of a wave can be derived using the expression below;

E =
`(hc)/(wavelength)`

h is the planck's constant

c is the speed of light

Insert the parameters and solve;

E =
`(6.62 x 10^(-34) x 3 x 10^(8) )/(410.1 x 10^(-9) )` = 4.85 x 10⁻¹⁹J