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Finding Angle of Separation for Helium Lines Answers and Explanation:

Sure, here's the explanation for finding the angle of separation of the 5048A and 5016A lines of helium in second order spectrum with a plane grating having 15000 lines per inch, step-by-step:

Step 1: Calculate the grating spacing.

Step 2: Convert wavelengths to centimeters.

The wavelengths of the two helium lines are given in Angstroms (Å). We need to convert them to centimeters (cm) for the calculations.

2dsinθ = mλ

We want to find the angle of separation (θ) between the two helium lines. Therefore, we can rewrite the equation for the difference in angles (Δθ) between the two diffracted beams:

2(1.6934 × 10^-4 cm)(Δθ) = (5.048 × 10^-7 cm)(5.048 × 10^-7 cm - 5.016 × 10^-7 cm)

Δθ ≈ 0.13°