If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is 30^ in a single slit diffraction pattern recorded using 628 nm light, then the width of the slit is _______ m .

Step-by-step solution

aligned & ₁= ⁻¹ ( 2 a ) & ₂= ⁻¹ ( 3 a ) & ₁+ ₂=30^ aligned aligned & ⁻¹ ( 2 a )+ ⁻¹ ( 3 a )= 6 & 2 a 1- ( 3 a )^2 + 3 a 1+ ( 2 a )^2 = 6 aligned Here =628 ~nm After solving A =6.07 ~m Approximate Method : aligned & = ₁+ ₂ & 6 = 2 a + 3 a & 6 = 5 a (628 ~nm ) & a=6 ~m aligned