A photon of ultraviolet (UV) light possesses enough energy to mutate a strand of human DNA. What is the energy of a single UV photon having a wavelength of 27 nm?
Planck's equation
Energy=PlancksConstant*c/lambda
i did.
(6.63e-34)(3e8)/27 its wrong...
What is a nm? Hint, it means nanometer.
To calculate the energy of a single UV photon with a given wavelength, you can use the equation:
E = hc / λ
Where:
E is the energy of the photon,
h is Planck's constant (approximately 6.626 x 10^-34 joule-seconds),
c is the speed of light (approximately 3.00 x 10^8 meters per second),
λ is the wavelength of the photon.
Plugging in the values, we can calculate the energy:
E = (6.626 x 10^-34 J·s) * (3.00 x 10^8 m/s) / (27 x 10^-9 m)
Simplifying the equation:
E = 196 x 10^-34 J·m / 27 x 10^-9 m
E = 7.259 x 10^-16 J
Therefore, the energy of a single UV photon with a wavelength of 27 nm is approximately 7.259 x 10^-16 joules.