Please consider the following situations: (a) A diffraction grating with d = 200

Question

Please consider the following situations:
(a) A diffraction grating with d = 2000 nm is used with amercury discharge tube. At what angle will the first-orderblue-green wavelength of mercury appear? What orders can beseen, and at what angle will the appear?
(b) The diffraction grating of Question (a) is used at adistance L = 50.0 cm from the slit. What is thedistance D from the slit to the first-order image forthe blue-green wavelength of mercury?
Please show your work.
Thank you.
Please consider the following situations:

(b) The diffraction grating of Question (a) is used at adistance L = 50.0 cm from the slit. What is thedistance D from the slit to the first-order image forthe blue-green wavelength of mercury?
Please show your work.
Thank you.

Explanation / Answer

Given that           d =2000 nm              =2000*10-9m             = 2.0*10-6m Wavelength () of the blue-green light is approximately =492.5 nm                                                                                   = 0.4925*10-6m We know the diffraction condition is                   dsin = m                          = sin-1(m / d)                            = sin-1[(1)(0.4925*10-6m) /(2.0*10-6m)]                             =14.3o

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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