Electromagnetic radiation with a wavelength of 665 nm appears as orange light to the human eye. The energy of one photon of this light is __________ J.
2.99*10^-19
E = h*c/L
where E is the energy, h is planck's constant, c is the speed of light, and L is the wavelength.Wavelength is measure in meters, so convert 665nm to meters. I think it's 6.65*10^-7
E=(6.626*10^-34 * 3*10^8)/6.65*10^-7
I think that is how you work that one.
To calculate the energy of one photon of light, you can use the equation:
E = hc/λ
Where:
E is the energy of a photon
h is Planck's constant (6.626 x 10^-34 J·s)
c is the speed of light (3.0 x 10^8 m/s)
λ is the wavelength of the light
Let's substitute the given values into the equation:
E = (6.626 x 10^-34 J·s) x (3.0 x 10^8 m/s) / (665 x 10^-9 m)
Now, multiply the terms in the numerator:
E = (6.626 x 3.0) x (10^-34 x 10^8) J·s·m/s / (665 x 10^-9 m)
E = 19.878 x 10^-26 J·m/s / 665 x 10^-9 m
Simplify the units:
E = 19.878 x 10^-17 J
Therefore, the energy of one photon of light with a wavelength of 665 nm is approximately 1.99 x 10^-16 J.
To determine the energy of one photon of light with a given wavelength, we can use the equation:
E = hc/λ
where:
E is the energy of the photon,
h is the Planck's constant (approximately 6.63 x 10^-34 J·s),
c is the speed of light in a vacuum (approximately 3.00 x 10^8 m/s),
and λ is the wavelength of the electromagnetic radiation.
First, let's convert the given wavelength from nanometers (nm) to meters (m):
665 nm = 665 x 10^-9 m
Now we can substitute the values into the equation:
E = (6.63 x 10^-34 J·s) × (3.00 x 10^8 m/s) / (665 x 10^-9 m)
Simplifying this calculation gives us:
E = 2.997 x 10^-19 J
Therefore, the energy of one photon of light with a wavelength of 665 nm is approximately 2.997 x 10^-19 J.