Microwave ovens emit microwave energy with a wavelength of 13.0 cm. What is the energy of exactly one photon of this microwave radiation?
Use:
E = hc/λ
Where:
Planck Constant: h = 6.62606957(29)×10−34J∙s
Speed of Light: c = 2.99792458×10+9m∙s-1
Wavelength: λ = 0.130m
E = hc/wavelength
Convert wavelength to m
The energy of a photon can be calculated using the equation E = hc/λ, where E is the energy, h is the Planck constant (6.626 x 10^-34 J*s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength in meters.
First, we need to convert the wavelength from centimeters to meters. We can do this by dividing the given wavelength by 100:
13.0 cm / 100 = 0.13 m
Now we can use the equation to calculate the energy of one photon:
E = (6.626 x 10^-34 J*s * 3.00 x 10^8 m/s) / 0.13 m
E ≈ 1.524 x 10^-28 J
Therefore, the energy of exactly one photon of microwave radiation with a wavelength of 13.0 cm is approximately 1.524 x 10^-28 joules (J).
To determine the energy of one photon of microwave radiation, you can use the equation:
E = (hc) / λ
Where:
E is the energy of the photon
h is Planck's constant (6.626 x 10^-34 J·s)
c is the speed of light (2.998 x 10^8 m/s)
λ is the wavelength
First, convert the wavelength from centimeters to meters:
λ = 13.0 cm = 13.0 x 10^-2 m
Now, substitute the values into the equation:
E = (6.626 x 10^-34 J·s * 2.998 x 10^8 m/s) / (13.0 x 10^-2 m)
Performing the calculations:
E = (1.979 x 10^-25 J·m) / (13.0 x 10^-2 m)
E ≈ 1.523 x 10^-24 J
Therefore, the energy of one photon of microwave radiation with a wavelength of 13.0 cm is approximately 1.523 x 10^-24 Joules.