In a double-slit arrangement the slits are separated by a distance equal to 150 times the wavelength of the light passing through the slits. (a) What is the angular separation between the central maximum and an adjacent maximum
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Complete Question
In a double-slit arrangement the slits are separated by a distance equal to 150 times the wavelength of the light passing through the slits. (a) What is the angular separation between the central maximum and an adjacent maximum? (b) What is the distance between these maxima on a screen 57.9 cm from the slits?
a
b
Explanation:
From the question we are told that
The slit separation is![d = 150 \lambda](/tpl/images/0715/5896/eabbd.png)
The distance from the screen is![D = 57.9 \ cm = 0.579 \ m](/tpl/images/0715/5896/5e9a7.png)
Generally the condition for constructive interference is mathematically represented as
=>![\theta = sin ^{-1} [\frac{n * \lambda }{ d } ]](/tpl/images/0715/5896/d2741.png)
where n is the order of the maxima and value is 1 because we are considering the central maximum and an adjacent maximum
and
is the wavelength of the light
So
Generally the distance between the maxima is mathematically represented as
=>![y = 0.579 tan (0.3819 )](/tpl/images/0715/5896/98e32.png)
=>![y = 0.00386 \ m](/tpl/images/0715/5896/b5945.png)
Ответ: