Standing Waves: Maxima at even λ/2 from center, minima at odd λ/4

Steps:

• Wavelength λ = 4 cm, so λ/2 = 2 cm (spacing between maxima), λ/4 = 1 cm (max to min).
• Transmitter separation S = 96 cm (inferred from central max at 48 cm).
• Maxima (antinodes) at d = 48 ± 2n cm (e.g., 46 cm, 48 cm).
• Minima (nodes) at d = 48 ± (2n+1) cm (e.g., 47 cm, 49 cm).

Why C is correct:

• C pairs 48 cm (maximum, central antinode) and 47 cm (minimum, adjacent node), matching standing wave positions per interference formula.

Why the others are wrong:

• A: 46 cm and 48 cm are both maxima (spaced by λ/2).
• B: 47 cm (minimum) and 48 cm (maximum) mismatch if assigned as max then min.
• D: 49 cm and 47 cm are both minima (spaced by λ/2).

Final answer: C