Final answer:
To calculate the wavelength of the light, use the formula E = hc/λ, where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength. Rearrange the formula to solve for λ and substitute the given values to find the wavelength is approximately 4.08 x 10^-7 meters.
Step-by-step explanation:
The energy of a photon can be calculated using the equation:
E = hf
Where E is the energy, h is Planck's constant (approximately 6.626 x 10-34 J·s), and f is the frequency of the light.
In this case, the energy of the photon is given as 4.9 x 10-19 J. To calculate the wavelength, we need to rearrange the equation:
E = hc/λ
Where c is the speed of light (approximately 3.00 x 108 m/s) and λ is the wavelength.
Substituting the given values into the equation, we get:
4.9 x 10-19 J = (6.626 x 10-34 J·s)(3.00 x 108 m/s)/λ
Solving for λ, we find that the wavelength of the light is approximately 4.08 x 10-7 meters.