To find the energy of a photon, you use the formula:
[tex]\[ E = h f \][/tex]
Here's a step-by-step explanation:
1. Identify the variables in the formula:
- [tex]\( E \)[/tex] represents the energy of the photon.
- [tex]\( h \)[/tex] is Planck's constant, which has a value of [tex]\( 6.626 \times 10^{-34} \)[/tex] joules·second.
- [tex]\( f \)[/tex] is the frequency of the photon, measured in hertz (Hz).
2. Multiplication of Planck's constant and frequency:
- The energy of a photon is directly proportional to its frequency.
- By multiplying Planck's constant [tex]\( h \)[/tex] with the frequency [tex]\( f \)[/tex], you get the energy [tex]\( E \)[/tex] of the photon.
Given the simplicity and direct nature of the formula, [tex]\( E = h f \)[/tex] correctly represents the relationship where the energy [tex]\( E \)[/tex] of a photon is the product of Planck's constant [tex]\( h \)[/tex] and the frequency [tex]\( f \)[/tex].
