Ncert Exercises & Solutions

15.3 A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that the speed of a transverse wave on the wire equals the speed of sound in dry air at 20°C = 343 m/sec.

It is given in the question that :

Length of the steel wire, l = 12 m

Mass of the steel wire, m = 2.10 kg

Speed of the transverse wave in the wire = speed of sound in dry air \Rightarrow v = 343 m / s

Mass per unit length of the wire, μ = \frac{m}{l} = \frac{2.10}{12} = 0.175 kg m^{- 1}

For tension T, velocity of the transverse wave :

v = \sqrt{\frac{T}{μ}}

∴ T = v^{2} μ = {(343)}^{2} \times 0.175 = 20588.575 \approx 2.06 \times 10^{4} N

NEET Information

courses

Company

Botany Questions

Chemistry Questions

Physics Questions

Zoology Questions