Question

A diode laser emits at a wavelength of 989 nm . All of its output energy is absorbed in a detector that measures a total energy of 0.54 J over a period of 32 s . How many photons per second are being emitted by the laser

Answer 1

Approximately 5.05 x 10^19 photons per second are emitted by the diode laser.

Step-by-step explanation:

To calculate the number of photons per second emitted by the laser, we need to use the formula:

Number of photons per second = Total energy / Energy of one photon

The energy of one photon can be calculated using the formula:

Energy of one photon = Planck's constant (6.63 x 10^-34 J s) / Wavelength

Substituting the given values into the formula, we get:

Energy of one photon = (6.63 x 10^-34 J s) / (989 x 10^-9 m)

The total energy emitted by the laser is given as 0.54 J throughout 32 s. Using this information, we can calculate:

Number of photons per second = 0.54 J / 32 s / energy of one photon

Substituting the values, we get:

Number of photons per second = (0.54 J / 32 s) / ((6.63 x 10^-34 J s) / (989 x 10^-9 m))

Simplifying the expression, we find that approximately 5.05 x 10^19 photons per second are emitted by the lase