Question Detail

PHY 104 Diffraction and Interference of light waves Objective Question

Question

In Young's double-slit experiment, what approximation is made for small angles to relate the fringe position (y) to the angular position (θ)?
Options
A sinθ ≈ cosθ
B sinθ ≈ tanθ
Correct Answer
C cosθ ≈ tanθ
D sinθ ≈ 1
Correct Answer

Option B is the correct answer.

Detailed Explanation

The text states, 'For small angles, sinθ = tanθ = y/x'. This shows that for small angles, the sine and tangent of the angle are approximately equal.

Hint

Look for the 'small angles' approximation on page 3.

Question Info