Measurement of Wavelength of a Laser (He-Ne) Light using Single-Slit Diffraction
Step 1: Set the width of the slit. Keep this value constant throughout the experiment.
Given: Slit width d = 1000 nm = 1 × 10−6 m
Step 2: Click on "Diffraction Pattern" or "Intensity Profile" option to observe the diffraction pattern as shown in Fig. 3.
Step 3: Change the value of angle of observation (θ) corresponding to the first-order minimum (k = 1).
Step 4: Repeat the process 5 times for different angles of observation. Take the average of the values of λ.
Step 5: Calculate the wavelength (λ) for each observation using the formula:
d sinθ = kλ ⇒ λ = d × sinθ / k
Where:
- d — width of the slit
- θ — angle of observation at kth minimum
- k — order of minima (k = 1 for first-order minimum)
- λ — wavelength to be calculated
Observation Table:
Given: d = 1000 nm = 1 × 10−6 m, k = 1
| Serial No. | Angle of Observation (θ) | sinθ | Wavelength λ = d × sinθ / k |
|---|---|---|---|
| 1 | 39.20° | 0.6320 | 632.0 nm |
| 2 | 39.30° | 0.6334 | 633.4 nm |
| 3 | 39.31° | 0.6336 | 633.6 nm |
| 4 | 39.25° | 0.6327 | 632.7 nm |
| 5 | 39.29° | 0.6333 | 633.3 nm |
Average Wavelength:
λavg = (632.0 + 633.4 + 633.6 + 632.7 + 633.3) / 5
λavg = 3165.0 / 5
λavg = 633.0 nm
Standard value of He–Ne laser wavelength = 632.8 nm
Percentage Error = |(632.8 − 633.0) / 632.8| × 100 ≈ 0.03%