To find the energy of a photon given its frequency, 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 (\(1.7 \times 10^{17} , \text{Hz}\)).
Now we can calculate the energy:
\[ E = (6.63 \times 10^{-34} , \text{J s}) \times (1.7 \times 10^{17} , \text{Hz}) \]
Calculating this:
\[ E = 6.63 \times 1.7 \times 10^{-34 + 17} , \text{J} \] \[ E = 11.271 \times 10^{-17} , \text{J} \]
Now adjusting the exponent:
\[ E = 1.1271 \times 10^{-16} , \text{J} \]
This can be rounded to:
\[ E \approx 1.1 \times 10^{-16} , \text{J} \]
Thus, the energy of the photon is 1.1 × 10–16 J.
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