Chapter 27, Problem 05 Your answer is partially correct. Try again. In a Young\'

Question

Chapter 27, Problem 05 Your answer is partially correct. Try again. In a Young's double-slit experiment, the seventh dark fringe is located 0.027 m to the side of the central bright fringe on a flat screen, which is 1.1 m away from the slits. The separation between the slits is 1.6 10-4 m, what is the wavelength of the light being used? Seventh dark fringe Central bright fringe Seventh dark fringe Double slit Screen Number TT2.6e-7 Units m Use correct number of significant digits; the tolerance is +/-1 in the 2nd significant digit

Explanation / Answer

For 7th dark fringe m = 6

ym = (m + 1/2) * [lambda * L / d]

0.027 = (6 + 1/2) * (lambda * 1.1 / 1.6 * 10-4)

0.027 = 6.5 * 6875 * lambda

lambda = 0.027 / (6.5 * 6875)

= 6.04 * 10-7 m = 604 nm

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