Question

Calculate the wavelength (A) of a photon of green light that has a frequency (v) of 5.76 x 10^14 s^-1.

λ = nm
Your answer should be rounded to the nearest whole number. Do not include units in your answer.​

Answer 1

The wavelength (A) of a photon of green light is 521 nm

To calculate the wavelength
`(\(\lambda\))` of a photon of green light with a given frequency (v), we use the formula that relates wavelength, frequency, and the speed of light (c):

`\[ c = \lambda * v \]`

Where:

- c is the speed of light in a vacuum, approximately
`\( 3 * 10^8 \)`meters per second (m/s).

-
`\( \lambda \)` is the wavelength in meters (m).

- v is the frequency in hertz
`(Hz or s\(^(-1)\)).`

Given:

`- \( v = 5.76 * 10^(14) \) s\(^(-1)\)`

The speed of light c is a constant at
`\( 3 * 10^8 \) m/s.`

Now, to find the wavelength
`\(\lambda\),` we rearrange the formula to solve for \
`(\lambda\):`

`\[ \lambda = (c)/(v) \]`

Substitute the given values into the equation:

`\[ \lambda = \frac{3 * 10^8 \text{ m/s}}{5.76 * 10^(14) \text{ s}^(-1)} \]`

Next, we will calculate the value of
`\(\lambda\)`and convert it to nanometers (nm) because
`\( 1 \text{ m} = 1 * 10^9 \text{ nm}\)`. Let's perform the calculation.

The wavelength
`(\(\lambda\))`of the photon of green light with a frequency
`(\(v\)) of \(5.76 * 10^(14) \text{s}^(-1)\)` is approximately 521 nanometers nm when rounded to the nearest whole number.

Answer 2

521

Step-by-step explanation:

λ = c / ν

λ = 3x10⁸ms⁻¹ / 5.76x10¹⁴s⁻¹

λ = 5.21x10⁻⁷m

λ = 521nm