State the mathematical expression for the position of the th dark fringe measured…

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics

Problem

State the mathematical expression for the position

y'_n

of the

n

th dark fringe measured from the central maximum on the screen in a Young’s double-slit experiment (slit separation

d

, screen distance

D

, wavelength

\lambda

). (a)

y'_n=\dfrac{n\lambda D}{d}

(b)

y'_n=\dfrac{\bigl(n+\tfrac12\bigr)\lambda D}{d}

(c)

y'_n=\dfrac{\bigl(n+\tfrac12\bigr)\lambda D}{2d}

(d)

y'_n=\dfrac{(2n+1)\lambda D}{d}