Question -
Answer -
(a) Mass of the wire, m = 3.5 × 10–2 kg
Linear mass density,
Frequency of vibration, ν = 45 Hz
∴Length of the wire,
The wavelength of the stationary wave (λ)is related to the length of the wire by the relation:
For fundamental node, n =1:
λ = 2l
λ = 2 × 0.875 = 1.75 m
The speed of the transverse wave in the string is givenas:
v = νλ=45 × 1.75 = 78.75 m/s
(b) The tension produced in the string is given by therelation:
T = v2µ
= (78.75)2 × 4.0 × 10–2 =248.06 N