Question

What is the frequency of a photon having an energy of 4.91 × 10–17 ? (c = 3.00 × 108 m/s, h = 6.63 × 10–34 J · s)​

Answer 1

Answer:

The frequency of the photon is 7.41*10¹⁶ Hz

Explanation:

Planck states that light is made up of photons, whose energy is directly proportional to the frequency of radiation, according to a constant of proportionality, h, which is called Planck's constant. This is expressed by:

E = h*v

where E is the energy, h the Planck constant (whose value is 6.63*10⁻³⁴ J.s) and v the frequency (Hz or s⁻¹).

So the frequency will be:

$v=\frac{E}{h}$

Being E= 4.91*10⁻¹⁷ J and replacing:

$v=\frac{4.91*10^{-17} J}{6.63*10^{-34} J.s}$

You can get:

v= 7.41*10¹⁶ $\frac{1}{s}$= 7.41*10¹⁶ Hz

The frequency of the photon is 7.41*10¹⁶ Hz