Fusion is the process by which the sun produces energy. One experimental techniq
ID: 1563219 • Letter: F
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 1130 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 633 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
P1 =1*10^14 W, lamda1 = 1130 nm , t1 = 1.1*10^-11 s
Power = E/t
E1 = N1hc/lamda1 = P1*t1
N1*6.63*10^-34*3*10^8/(1130*10^-9) = 1*10^14*1.1*10^-11
N1 = 6.25*10^21 atoms
N1 = N2
lamda2 = 633 nm , P2 = 1*10^-3 W
Nhc/lamda2 = P2*t2
6.25*10^21*6.63*10^-34*3*10^8/(633*10^-9) = 1*10^-3*t2
t2 = 1.964*10^6 s =1.964*10^6/(24*60*60)
t2 = 22.7 days
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