A slit of width a is illuminated by red light of wavelength 6500 Å . If the first diffraction minimum falls at 30^ , then the value of a is

Step-by-step solution

Given, =6500 Å=6500 10⁻¹⁰ ~m , =30^ According to the diffraction pattern of single slit, a =n where, n= order of secondary minima =1 a 30^ =1 (6500 10⁻¹⁰ ) a 2 =6500 10⁻¹⁰ or aligned a &=13000 10⁻¹⁰ &=1.3 10⁻⁶ ~m =1.3 micron aligned