Derive an expression for the ratio of the angular width between the first minima of…

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

Problem

Derive an expression for the ratio of the angular width between the first minima of the principal maximum for a two-slit arrangement,

\Delta\theta_2

, to that for an

N

-slit grating,

\Delta\theta_N

, assuming all slits are narrow, identical, and equally spaced. State the resulting ratio.