Fusion is the process by which the sun produces energy. One experimental techniq

Question

Fusion is the process by which the sun produces energy. One experimental technique for creating controlled fusion utilizes a solid-state laser that emits a wavelength of 1080 nm and can produce a power of 1.00 × 1014 W for a pulse duration of 1.10 × 10-11 s. In contrast, the helium/neon laser used at the checkout counter in a bar-code scanner emits a wavelength of 636 nm and produces a power of about 1.00 × 10-3 W. How long (in days) would the helium/neon laser have to operate to produce the same number of photons that the solid-state laser produces in 1.10 × 10-11 s?

Explanation / Answer

here,

wavelength of photon in solid state laser , lamdas = 1080 nm

lamadas = 1.08 * 10^-6 m

power , Ps = 1 * 10^14 W

time , t = 1.1 * 10^-11 s

let the number of photons be n

n*h *c/lamdas = Ps*t

n * 6.626 * 10^-34 * 3 * 10^8/( 1.08 * 10^-6) = 1 * 10^14 * 1.1 * 10^-11

n = 5.97 * 10^21 photons

let the time taken for HE-Ne laser be th

wavelength , lamdah = 6.36 * 10^-7 m
power , Ph = 1 * 10^-3 W

n*h *c/lamdas = Ps*th

5.97 * 10^21 * 6.26 * 10^-34 * 3 * 10^8 /( 6.36 * 10^-7) = 1 * 10^-3 * t

t = 1.76 * 10^6 s

t = 40.74 days

the number of days the laser is operated is 40.74 days

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