Yellow light that has a wavelength of 625 nm produces a central maximum peak tha

Question

Yellow light that has a wavelength of 625 nm produces a central maximum peak that is 24 cm wide on a screen that is 1.36 m from a single slit. Calculate the width of the slit. Incorrect: Your answer is incorrect.____ m

HINT: Yellow light ( = 625 109 m) is shined on a single slit of width w. The central bright spot of the resulting diffraction pattern on a screen a distance L = 1.36 m behind the single slit has a width (2y1) = 0.24 m. The relationship sin() = m w gives the angular position of the dark fringes. Using trigonometry and the small angle approximation (sin() tan()), we can rewrite this in terms of the position of the mth dark fringe on the screen, ym. Plugging in m = 1 and rearranging the expression for w will allow us to calculate the slit width.

Explanation / Answer

= 625 10^9 m

D = 1.36 m

y = 0.12 m

m = 1

the width of the slit = a = mD/y = (1*625*10^9*1.36)/0.12 = 7.08*10^-6 m = 7.08 m

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