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Convert the given energy from electron volts (eV) to Joules (J).

Physics

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Answer

7.98×1014 Hz7.98 \times 10^{14} \text{ Hz}

Step-by-step solution

2 steps

To calculate the frequency of the photon, we use the relationship between energy and frequency for a photon, E=hfE = hf.

  1. Convert the given energy from electron volts (eV) to Joules (J).

    The energy (EE) is 3.3 eV3.3 \text{ eV}.
    We know that 1 eV=1.602×10−19 J1 \text{ eV} = 1.602 \times 10^{-19} \text{ J}.

    E=3.3 eV×(1.602×10−19 J/eV)E = 3.3 \text{ eV} \times (1.602 \times 10^{-19} \text{ J/eV}) E=5.2866×10−19 JE = 5.2866 \times 10^{-19} \text{ J}
  2. Use Planck's equation to find the frequency (ff).

    The equation is E=hfE = hf, where hh is Planck's constant (6.626×10−34 J⋅s6.626 \times 10^{-34} \text{ J}\cdot\text{s}).
    Rearrange the formula to solve for ff:

    f=Ehf = \frac{E}{h} f=5.2866×10−19 J6.626×10−34 J⋅sf = \frac{5.2866 \times 10^{-19} \text{ J}}{6.626 \times 10^{-34} \text{ J}\cdot\text{s}} f≈0.797857×1015 Hzf \approx 0.797857 \times 10^{15} \text{ Hz} f≈7.97857×1014 Hzf \approx 7.97857 \times 10^{14} \text{ Hz}

    Rounding to three significant figures:

    f≈7.98×1014 Hzf \approx 7.98 \times 10^{14} \text{ Hz}

    The frequency of the photon is:

    7.98×1014 Hz7.98 \times 10^{14} \text{ Hz}
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