Double slit problem
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The intensity of a wave is the square of the wave amplitude. This is also true for the matter-waves or the probability-waves of the quantum theory. Suppose in the double slit experiment, the wave amplitudes at a point on the screen coming from slit A and slit B are +3 and +5 units, respectively and the counting rate from slit A alone is 60 counts/sec.
a) What is the counting rate from slit B alone?
b) What is the counting rate from both slit when they are open?
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Let's denote the amplitude coming from slit A by Psi_A and coming from slit B by Psi_B. We then have:
Psi_A = 3
Psi_B = 5
The counting rate is ...
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