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

Question

Fusion ?s 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 1180 nm and can produce a power of 1.00 x 10^14 W for a pulse duration of 1.10 x 10^-11 s. In contrast, the helium/neon laser used at the checkout counter in a bar-code scanner emits a wavelength of 633 nm and produces a power of about 1.00 x 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 x 10^-11 s? Number Units the tolerance is +/-3%

Explanation / Answer

here,

energy of 1 photon of 1180 nm

E = h*3*10^8/(1180*10^-9)

E = 1.685 *10^-19 J

now, no. of photons emitted = 1 *10^14 *1.1 * 10^-11/1.685 *10^-19

no. of photons emitted = 6.529 *10^21

Now, energy of 633 photon ,

E = h*3*10^8/(633*10^-9)

E = 3.14 *10^-19 J

let the time taken is t

t*1 *10^-3/3.14 *10^-19 = 6.529 *10^21

t = 2.05 *10^6 s = 23.73 days

the time taken is 23.73 days

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