Use the equations above to answer the following questions 1. Ultraviolet radiation has a frequency of 6.8times 10^15Hz Calculate the energy, in joules, of the photon. 2. Find the energy in joules per photon,of microwave radiation with a frequency of 7.91times 10^10Hz 3. A sodium vapor lamp emits light photons with a wavelength of 5.89times 10^-7m . What is the energy of th photons? 4. One of the electron transitions in a hydrogen atom produces infrared light with a wavelength of 746. What amount of energy causes this transition? 5. Find the energy in kJ for an x-ray photon with a frequency of 2.4times 10^18s^-1 6. A ruby laser produces red light that has a wavelength of 500 nm. Calculate its energy in joules. 7. What is the frequency of UV light that has an energy of 2.39times 10^-18J 8. What is the wavelength and frequency of photons with an energy of 1.4times 10^-21J 9. What is the energy of a light that has 434 nm? 10. What is the wavelength of a light that has a frequency of 3.42times 10^11Hz

Question

Answer 1

1. The energy of a photon can be calculated using the equation:

where

is the energy,

is Planck's constant (

), and

is the frequency.Given that the frequency of ultraviolet radiation is

, we can substitute the values into the equation:

Calculating this gives us:

Therefore, the energy of the photon is

.2. Using the same equation as in question 1, we can calculate the energy of microwave radiation with a frequency of

:

Calculating this gives us:

Therefore, the energy of the photon is

.3. The energy of a photon can also be calculated using the equation:

where

is the energy,

is Planck's constant,

is the speed of light (

), and

is the wavelength.Given that the wavelength of the sodium vapor lamp is

E = \frac{(6.626 \times 10^{-34} \, \text{J} \cdot \text{s}) \times (3.00 \times 10^8 \, \text{m/s})}{5.89 \times 10^{-7} \, \text{m}}

E = 3.36 \times 10^{-19} \, \text{J}

3.36 \times 10^{-19} \, \text{J}

E = \frac{(6.626 \times 10^{-34} \, \text{J} \cdot \text{s}) \times (3.00 \times 10^8 \, \text{m/s})}{746 \times 10^{-9} \, \text{m}}

E = 2.65 \times 10^{-20} \, \text{J}

2.65 \times 10^{-20} \, \text{J}

E = hf

2.4 \times 10^{18} \, \text{s}^{-1}

E = (6.626 \times 10^{-34} \, \text{J} \cdot \text{s}) \times (2.4 \times 10^{18} \, \text{s}^{-1})

E = 1.59 \times 10^{-15} \, \text{J}

1.59 \times 10^{-15} \, \text{J}

E = \frac{hc}{\lambda}

E = \frac{(6.626 \times 10^{-34} \, \text{J} \cdot \text{s}) \times (3.00 \times 10^8 \, \text{m/s})}{500 \times 10^{-9, \text{m}}

E = 3.98 \

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