A certain laser transition emits 6.0 x 1015 quanta per second per square meter of λ = 662.6 nm.What is the power output in joule per second per square meter?

To calculate the power output in joules per second per square meter, we first need to convert the wavelength from nanometers to meters.

1 nm = 1 x 10^-9 m

So, λ = 662.6 nm = 662.6 x 10^-9 m

Next, we use the formula for the energy of a photon, which is given by Planck's equation:

E = h * c / λ

where h is Planck's constant (6.626 x 10^-34 joule seconds), c is the speed of light (3.0 x 10^8 m/s), and λ is the wavelength in meters.

E = (6.626 x 10^-34 J*s) * (3.0 x 10^8 m/s) / (662.6 x 10^-9 m) E = 3.00 x 10^-19 J

This is the energy of one photon. The laser emits 6.0 x 10^15 photons per second per square meter, so the power output is:

P = E * number of photons P = (3.00 x 10^-19 J) * (6.0 x 10^15 photons/s*m^2) P = 1.8 W/m^2

So, the power output is 1.8 joules per second per square meter.