Question

Calculate the wavelength and the frequency of the photons that have an energy of photon=1.32×10−19 J. Use c=3.00×108 m/s for the speed of light in a vacuum.

Answer 1

The wavelength and frequency of photons with an energy of 1.32x10^-19 J can be calculated using the equations E = hf and c = fλ. Rearrange E = hf to solve for f, then use c = fλ to find λ.

Step-by-step explanation:

To calculate the wavelength and frequency of a photon with an energy of 1.32x10-19 J, we can use the equation E = hf, where E is the energy of the photon, h is Planck's constant (6.626x10-34 J x s), and f is the frequency of the photon.

Since we're given the energy, we can rearrange the equation to solve for f: f = E/h.

Once we have the frequency, we can use the equation c = fλ, where c is the speed of light (3.00x108 m/s) and λ is the wavelength of the photon, to solve for λ: λ = c/f.

Plugging in the values, we have:

f = (1.32x10-19 J) / (6.626x10-34 J x s) = 1.99x1014 Hz

λ = (3.00x108 m/s) / (1.99x1014 Hz) = 1.51x10-6 m.