Question

A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1%. What is the fundamental frequency of steel if density and elasticity of steel are 7.7 x 10³ kg/m³ and 2.2 x 10¹¹ N/m² respectively?

(a) 178.2 Hz

(b) 200.5 Hz

(c) 770 Hz

(d) 188.5 Hz

Answer 1

Correct option is : (a) 178.2 Hz

\(\frac{1}{2\times 1.5} \sqrt{\frac{2.25\times 10^{11\times10^{-2}}}{7.7\times 10^3}}\)

\( = - 178.2 \ Hz\)