Wave relation: frequency and wavelength

Steps:

• Identify wave types: light is electromagnetic (transverse), sound is mechanical (longitudinal).
• Evaluate propagation: light travels in vacuum, sound requires a medium.
• Check frequency-wavelength: both obey v = fλ, so f ∝ 1/λ for constant speed.
• Assess intensity and oscillation: intensity ∝ amplitude² for both; light transverse, sound longitudinal.

Why B is correct:

• Wave speed formula v = fλ shows frequency inversely proportional to wavelength when speed is constant in a medium or vacuum.

Why the others are wrong:

• A: Sound cannot travel through free space without a medium.
• C: Intensity is proportional to amplitude squared, not directly to amplitude.
• D: Light waves are transverse (oscillations perpendicular), but sound waves are longitudinal (oscillations parallel).

Final answer: B