Question

Calculate the frequency of the yellow light emitted by a sodium lamp if the wavelength is

5.88 x 10 meters.

Answer 1

The frequency of the yellow light emitted by a sodium lamp can be calculated using the equation frequency = speed of light / wavelength.

Step-by-step explanation:

The frequency of light can be calculated using the formula:

speed of light = frequency x wavelength

To calculate the frequency, we can rearrange the formula to solve for frequency:

frequency = speed of light / wavelength

Given that the wavelength of the yellow light emitted by a sodium lamp is 5.88 x 10 meters, we can substitute this value into the formula:

frequency = speed of light / wavelength = (3.00 x 10^8 m/s) / (5.88 x 10^(-9) m) = 5.10 x 10^16 Hz

Therefore, the frequency of the yellow light emitted by the sodium lamp is 5.10 x 10^16 Hz.

Answer 2

I know the question says
`5.88*10` meters, but I'm assuming the exponent wasn't copied because the wavelength of yellow light is around eight orders of magnitude smaller. This calculation is done with the assumption that
`\lambda = 588 \text{ nm} = 5.88* 10^(-7) \text{ m}`.

The speed of light is the wavelength multiplied by the frequency:

`\lambda\\u = \text{c}`

Then you can rearrange and solve

`\\u=\frac{\text{c}}{\lambda}=\frac{3.00* 10^8 \text{ m/s}}{5.88*10^(-7) \text{ m}} = 5.10*10^(14) \text{ s}^(-1) \text{ or Hz}`