To calculate the energy of electromagnetic radiation given its wavelength, you can use the equation:
E = (hc) / λ
where: E is the energy of the radiation, h is Planck's constant (approximately 6.62607015 x 10^(-27) erg·s), c is the speed of light in a vacuum (approximately 2.99792458 x 10^10 cm/s), and λ is the wavelength of the radiation in centimeters.
First, we need to convert the given wavelength of 2000 Å (angstroms) to centimeters. Since 1 Å = 10^(-8) cm, we can write:
λ = 2000 Å * (10^(-8) cm/Å) = 2 x 10^(-5) cm
Now we can substitute the values into the equation:
E = (6.62607015 x 10^(-27) erg·s * 2.99792458 x 10^10 cm/s) / (2 x 10^(-5) cm)
Simplifying the expression:
E = 3.96 x 10^(-12) ergs
Therefore, the energy of electromagnetic radiation with a wavelength of 2000 Å is approximately 3.96 x 10^(-12) ergs.