To calculate the energy of a photon, you can use the formula:
\[ E = h \cdot f \]
where:
- \( E \) is the energy of the photon,
- \( h \) is Planck's constant (\( 6.63 \times 10^{-34} , \text{J·s} \)),
- \( f \) is the frequency of the photon (\( 2.2 \times 10^{16} , \text{Hz} \)).
Now, substituting the values into the formula:
\[ E = (6.63 \times 10^{-34} , \text{J·s}) \cdot (2.2 \times 10^{16} , \text{Hz}) \]
\[ E = 1.459 \times 10^{-17} , \text{J} \]
Now, rounding to two significant figures (as in the frequency), we get:
\[ E \approx 1.5 \times 10^{-17} , \text{J} \]
Therefore, the energy of the photon is approximately:
1.5 × 10–17 J.
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