How many photons are produced in each pulse of a Ruby laser that produces 0.376 J of energy per pulse, with a wavelength of 633 nm and a pulse duration of 1.00 x 10^-29 s? Calculate the power delivered by the laser per pulse in watts.
The number of photons produced in each pulse and the power delivered by the Ruby laser can be calculated using the given data. Let's break down the calculations step by step.
Calculating Number of Photons:
To calculate the number of photons produced in each pulse, we first need to find the energy of one photon using the formula:
Energy of one photon = Planck's constant x speed of light / wavelength
Given:
Wavelength (λ) = 633 nm = 633 x 10^-9 m
Energy per pulse = 0.376 J
We can now substitute the values into the equation:
Energy of one photon = (6.626 x 10^-34 J s) * (3.00 x 10^8 m/s) / (633 x 10^-9 m)
Energy of one photon ≈ 3.14 x 10^-19 J
Now, we can calculate the number of photons produced in each pulse using the formula:
Number of photons = Energy per pulse / Energy of one photon
Number of photons = 0.376 J / 3.14 x 10^-19 J ≈ 1.20 x 10^18 photons
Therefore, approximately 1.20 x 10^18 photons are produced in each pulse of the Ruby laser.
Calculating Power Delivered by the Laser:
To calculate the power delivered by the Ruby laser per pulse in watts, we can use the formula:
Power per pulse = Energy per pulse / Pulse duration
Given:
Pulse duration = 1.00 x 10^-29 s
We can calculate the power delivered by the laser per pulse:
Power per pulse = 0.376 J / 1.00 x 10^-29 s
Power per pulse = 3.76 x 10^10 W
Therefore, the power delivered by the Ruby laser per pulse is approximately 3.76 x 10^10 watts.
In conclusion, the Ruby laser produces approximately 1.20 x 10^18 photons in each pulse and delivers a power of approximately 3.76 x 10^10 watts per pulse.