Final answer:
To find the frequency of a photon with an energy of 5.0e⁻¹⁹ J, use the equation E = hf, rearrange it to f = E/h, and divide the energy by Planck's constant, yielding a frequency of about 7.55 x 10¹⁴ Hz.
Step-by-step explanation:
The student is asking about the frequency of a photon given its energy.
We can calculate the frequency using the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency.
Given that the energy of the photon is 5.0e⁻¹⁹ J, and Planck's constant (h) is 6.626 x 10⁻³⁴ J·s, we can rearrange the formula to solve for f by dividing the energy by Planck's constant:
f = E/h.
So, f = 5.0e⁻¹⁹ J / 6.626 x 10⁻³⁴ J·s, and
when you do the calculation, the frequency (f) is found to be approximately 7.55 x 10¹⁴ Hz.