Wavelength by diffraction grating
Optics experiments · Physics
Study notes
Step 1: Identify given values. Grating spacing (d) = 1 micrometer (1 x 10^-6 m). Angle of first-order maximum (theta) = 30 degrees. Order number (n) = 1. Step 2: Recall the formula for diffraction grating maxima: d * sin(theta) = n * lambda. Step 3: Rearrange the formula to solve for wavelength (lambda): lambda = (d * sin(theta)) / n. Step 4: Substitute the values into the equation. lambda = (1 x 10^-6 m * sin(30 degrees)) / 1. Step 5: Calculate sin(30 degrees), which is 0.5. Step 6: Perform the multiplication: lambda = (1 x 10^-6 m * 0.5). Step 7: Final result: lambda = 0.5 x 10^-6 m, which is 500 nanometers. This corresponds to green light.