Question

The wavelength of the yellow light from a sodium flame is 589 nm. This light originated from a sodium atom in the hot flame.

Answer 1

From wave speed formula, period is 1.96 × 10^-15  seconds per cycle and the frequency is 5.1 × 10^14 Hertz

What is Frequency ?

The frequency of a wave is the number of complete revolution per second made by a vibrating body.

Given that the wavelength of the yellow light from a sodium flame is 589 nm. This light originated from a sodium atom in the hot flame.

(a) In the sodium atom from which this light originated, the period of the simple harmonic motion which was the source of this electromagnetic wave will be found by using the formula

v = λ/T

Where

• v = speed of light = 300,000,000 m/s

• λ = wavelength = 589 × 10^-9 m

• T = period

Substitute all the parameters

300000000 = 589 × 10^-9/T

T = 589 × 10^-9/300000000

T = 1.96 × 10^-15  seconds per cycle.

(b) The frequency of this light wave is the reciprocal of its period. That is,

F = 1/T

F = 1/1.96 × 10^-15

F = 5.1 × 10^14 Hertz

Therefore, the period of the wave is 1.96 × 10^-15  seconds per cycle and its frequency is 5.1 × 10^14 Hertz

Learn more about Light Wave here: brainly.com/question/10728818

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