Question

The linear density of a vibrating string is 1.3 × 10^–4 kg/m. A transverse wave is propagating on the string and its described by the equation y = 0.021 sin (x + 30t), where x and y are measured in metre and t in sec. The tension in the string is –

• A. 0.12 N
• B. 0.48 N
• C. 1.20 N
• D. 4.80 N

Answer 1

Answer: (A)

0.12 N

Answer 2

m = 1.3 × 10^–4 kg/m, From Eq., k = 1, w = 30

Wave velocity n = $\frac{\omega}{k}$ = 30 = $\sqrt{\frac{T}{m}}$