Question

A photon has a wavelength of 299 nm. What is the frequency of this photon?

1. 1×10^16 Hz
2. 1×10^15 Hz
3. 6.65 × 10^−37 Hz
4. 6.65 × 10^−28 Hz
5. 0.00100 Hz
6. 1.98 × 10^−31 Hz
7. 8.97 × 10^10 Hz
8. 1×10^6 Hz
9. 6.65 × 10^−18 Hz

Answer 1

The frequency(f) of this photon : 1 x 10¹⁵ Hz

Further explanation

Radiation energy is absorbed by photons

The energy in one photon can be formulated as

`\large{\boxed{\bold{E\:=\:h\:.\:f}}}`

Where

h = Planck's constant (6,626.10⁻³⁴ Js)

f = Frequency of electromagnetic waves

f = c / λ

c = speed of light

= 3.10⁸

λ = wavelength

A photon has a wavelength of 299 nm.

λ = 299 nm = 299 x 10⁻⁹ m = 2.99 x 10⁻⁷ m

The frequency :

`\tt f=(3.10^8)/(2.99* 10^(-7))\\\\f=\boxed{\bold{1* 10^(15)~Hz}}`