Two slits, each 0.08 mm wide, are placed side by side and illuminated with light

Question

Two slits, each 0.08 mm wide, are placed side by side and illuminated with light of wavelength 537 nm from a laser. If bright fringe 5 from the 2-slit interference pattern corresponds to dark band 3 of the single-slit diffraction pattern, how far apart are the two slits (center-to-center)? Submit Answer Tries 0/15 The same two slits, each 0.08 mm wide, are now illuminated with light of wavelength 669 nm. Which bright fringe from the 2-slit interference pattern now corresponds to dark band 3 of the single-slit diffraction pattern? (Enter a unitless number.) Submit Answer Tries 0/3

Explanation / Answer

Part A:

let the distance be 'd'.

let the screen be at a distance of 'L' from the slits then for 5th bright fringe of the double slit diffraction pattern, distance,

y = 5*wavelength*L/d

for 2nd dark fringe of single slit pattern,

y = 2*wavelength*L/slit width

so combining the two, we get

Hence the distance between the slits is, d = 0.2*10-3 m = 0.2 mm

Part B:

let bright firnge 'm' of double slit pattern corresponds to dark band 2 of single slit pattern.

then,

m*wavelength*L/d = 3*wavelength*L/slit width

m = 3*d / slit width

so, m = 7.5

Therefore, the bright fringe is 7.5

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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