Question

What is the frequency of

a photon with a wavelength of
2.25 x 10-7 m?
[?] × 10? Hz
Remember: c = wavelength f
c = 3.0 x 108 m/s
Be sure to enter both the coefficient and the exponent.

Answer 1

The frequency of a photon with a wavelength of 2.25 × 10^-7 m is approximately 1.33 ×
`10^{15` Hz, calculated using the formula f = c / λ with the speed of light c being 3.00 ×
`10^8` m/s.

To find the frequency of a photon with a given wavelength, we can use the formula c = λf, where c is the speed of light, λ (lambda) is the wavelength of the photon, and f is the frequency of the photon. Given that the speed of light, c, is approximately 3.00 ×
`10^8` m/s and the wavelength λ of the photon is 2.25 × 10^-7 m, we can rearrange the equation to solve for f as f = c / λ.

Plugging in the values, we get:

f = (3.00 ×
`10^8` m/s) / (2.25 × 10^-7 m)

≈ (3.00 / 2.25) × (
`10^8` / 10^-7)

≈ 1.33 × 10^15 Hz

Therefore, the frequency of the photon is approximately 1.33 × 10^15 Hz.