Standing wave wavelength from loop count

Steps:

• The string is 48 cm long with fixed ends, forming nodes there.
• A standing wave pattern divides the string into loops, each λ/2 long.
• The diagram shows three loops (1.5 wavelengths) spanning 48 cm.
• Thus, λ = (2 × 48 cm) / 3 = 32 cm.

Why B is correct:

• For fixed ends, L = nλ/2; with n=3 loops, λ=32 cm fits the pattern.

Why the others are wrong:

• A: Implies 6 loops (λ=16 cm), but diagram shows only 3.
• C: Implies 1 loop (λ=48 cm), but pattern has multiple loops.
• D: Implies fractional loops (λ=72 cm > L), impossible for standing wave.

Final answer: B