A wire 30 cm long, stretched between rigid supports, has its nth and (n+1)th harmonics at 400 Hz and 450 Hz. If the tension in the string is 2700 N, its linear mass density is kg m⁻¹.

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3. Consecutive harmonics of a string fixed at both ends differ by the fundamental, so f₁=450-400=50 Hz. v=2Lf₁=2×0.30×50=30 m s⁻¹. μ=T/(v²)=(2700)/(900)=3 kg m⁻¹.

A wire 30 cm long, stretched between rigid supports, has its nth and (n+1)th harmonics at 400 Hz and 450 Hz. If the tension in the string is 2700 N, its linear mass density is ______ kg m⁻¹.

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