Nitrogen laser produces a radiation at a wavelength of $337.1 \ nm$. If the number of photons emitted is $5.6 \times 10^{24}$,calculate the power of this laser.

The power of the laser is defined as the total energy emitted per unit time. Assuming the emission occurs over $1 \ s$ for the given number of photons:
Power $(P) = \frac{E}{t} = \frac{N h c}{\lambda \times t}$
Where:
$N = 5.6 \times 10^{24}$ (number of photons)
$h = 6.626 \times 10^{-34} \ J \ s$ (Planck's constant)
$c = 3 \times 10^{8} \ m \ s^{-1}$ (speed of light)
$\lambda = 337.1 \times 10^{-9} \ m$ (wavelength)
$t = 1 \ s$
Substituting the values:
$P = \frac{(5.6 \times 10^{24}) \times (6.626 \times 10^{-34}) \times (3 \times 10^{8})}{337.1 \times 10^{-9}}$
$P = \frac{11.13168 \times 10^{-1}}{337.1 \times 10^{-9}}$
$P \approx 3.302 \times 10^{6} \ W$