To calculate the frequency of the photon, we use the relationship between energy and frequency for a photon, E=hf.
Step 1: Convert the given energy from electron volts (eV) to Joules (J).
The energy (E) is 3.3 eV.
We know that 1eV=1.602×10−19 J.
E=3.3eV×(1.602×10−19J/eV)
E=5.2866×10−19 J
Step 2: Use Planck's equation to find the frequency (f).
The equation is E=hf, where h is Planck's constant (6.626×10−34J⋅s).
Rearrange the formula to solve for f:
f=hE
f=6.626×10−34J⋯5.2866×10−19J
f≈0.797857×1015 Hz
f≈7.97857×1014 Hz
Rounding to three significant figures:
f≈7.98×1014 Hz
The frequency of the photon is:
7.98×1014Hz
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