Solveeit Logo

Question

Question: A string of length 0.4 m and mass 10<sup>–2</sup> kg is clamped at its ends. The tension in the stri...

A string of length 0.4 m and mass 10–2 kg is clamped at its ends. The tension in the string is 1.6 N. When a pulse travels along the string, the shape of the string is found to be the same at times t and t + Dt. The value of Dt is –

A

0.05 sec

B

0.1 sec

C

0.2 sec

D

0.4 sec

Answer

0.1 sec

Explanation

Solution

v = Tμ\sqrt{\frac{T}{\mu}} = 1.6×0.4102\sqrt{\frac{1.6 \times 0.4}{10^{–2}}} = 8 m/s

S = vt = 0.8 = 8 Dt Ž Dt = 0.1 sec