A photon has an energy of 7.26 × 10^{-19} J. What is its frequency? (Planck's constant, h = 6.626 × 10^{-34} J·s)

• A. 4.80 × 10^{14} Hz
• B. 1.10 × 10^{15} Hz
• C. 2.20 × 10^{16} Hz
• D. 7.26 × 10^{34} Hz

Answer: (B)

Verified step by step guidance

1. Recall the relationship between the energy of a photon and its frequency, given by the equation \(E = h \nu\), where \(E\) is the energy, \(h\) is Planck's constant, and \(\nu\) (nu) is the frequency.
2. Rearrange the equation to solve for frequency: \(\nu = \frac{E}{h}\).
3. Substitute the given values into the equation: \(E = 7.26 \times 10^{-19}\) J and \(h = 6.626 \times 10^{-34}\) J\cdot s.
4. Perform the division to find the frequency: \(\nu = \frac{7.26 \times 10^{-19}}{6.626 \times 10^{-34}}\) Hz.
5. Express the result in scientific notation to match the format of the answer choices.