A pair of narrow, parallel slits separated by 0.240 mm is illuminated by the gre

Question

A pair of narrow, parallel slits separated by 0.240 mm is illuminated by the green component from amercury vapor lamp ( = 546.1 nm). The interferencepattern is observed on a screen 1.24 mfrom the plane of the parallel slits. (a) Calculate the distance from the centralmaximum to the first bright region on either side of the centralmaximum.
1 mm

(b) Calculate the distance between the first and second dark bandsin the interference pattern.
2 mm (a) Calculate the distance from the centralmaximum to the first bright region on either side of the centralmaximum.
1 mm

(b) Calculate the distance between the first and second dark bandsin the interference pattern.
2 mm

Explanation / Answer

L = 1.24 m d = 0.24*10-3 m = 546.1*10-9 m (A)                                             d*sin(1) = 1*       1 =sin-1(/d) ˜ 2.275*10-3radians    x1 =Ltan(1)       x1 =L1 ˜ 2.82 mm (B)                                           d*sin(0) = (0 + 0.5)= 0.5*       1 =sin-1(0.5*/d) ˜ 1.138*10-3radians    y0 =Ltan(0)       y0 =L0 ˜ 1.41 mm    d*sin(1) = (1 + 0.5)= 1.5*       1 =sin-1(1.5*/d) ˜ 3.413*10-3radians    y1 =Ltan(1)       y1 =L1 ˜ 4.23 mm y = y1 - y0 = 2.82mm (B)                                           d*sin(0) = (0 + 0.5)= 0.5*       1 =sin-1(0.5*/d) ˜ 1.138*10-3radians    y0 =Ltan(0)       y0 =L0 ˜ 1.41 mm    d*sin(1) = (1 + 0.5)= 1.5*       1 =sin-1(1.5*/d) ˜ 3.413*10-3radians    y1 =Ltan(1)       y1 =L1 ˜ 4.23 mm y = y1 - y0 = 2.82mm    d*sin(1) = (1 + 0.5)= 1.5*       1 =sin-1(1.5*/d) ˜ 3.413*10-3radians    y1 =Ltan(1)       y1 =L1 ˜ 4.23 mm y = y1 - y0 = 2.82mm y = y1 - y0 = 2.82mm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.