Question

A transverse wave is travelling with velocity 'V' through a metal wire of length 'L' and density 'ρ'. The tensile stress on the wire is ______

विकल्प

• V²ρ

• Vρ² 

• Vρ 

• `V/ρ`

Answer 1

A transverse wave is travelling with velocity 'V' through a metal wire of length 'L' and density 'ρ'. The tensile stress on the wire is V²ρ.

Explanation:

V = `sqrt(T/m)` where T is the tension and m is mass per unit length.

m = A.ρ where A is an area of cross-section.

∴ V = `sqrt(T/(Arho))`

∴ `V^2 = T/(Arho)`

∴ `T/A = V^2rho`