Calculate the wavelength of the yellow light emitted by a Sodium Lamp if the frequency is 5.10 X 10^14 Hz.

Formula:
Wavelenght (lamda)= speed of light, 3 X 10^8(c)/frequency, 5.1 X 10^14.

My answer was 5.9 X 10^-5. Is this anywhere near correct? Please explain the steps if I'm incorrect. Thank you for the help.

Your method is correct but your power of 10 is wrong.

Thank you. I rechecked my problem. Should the power be positive? Or is it another power instead?

Another power.

To calculate the wavelength of the yellow light emitted by a Sodium Lamp, you can use the formula:

Wavelength (λ) = Speed of light (c) / Frequency (f)

The speed of light is a constant value, approximately 3 X 10^8 meters per second (m/s).

In this case, the frequency (f) is given as 5.10 X 10^14 Hz.

Plugging the values into the formula, we have:

Wavelength (λ) = (3 X 10^8 m/s) / (5.10 X 10^14 Hz)
≈ 5.88 X 10^-7 meters

So the wavelength of the yellow light emitted by the Sodium Lamp is approximately 5.88 X 10^-7 meters.

Your answer of 5.9 X 10^-5 indicates a magnitude error. The correct exponent should be -7, not -5. Therefore, the correct answer is 5.88 X 10^-7 meters.