Two vibrating strings of the same material but lengths L and 2 L have radii 2 r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency v₁ and th

Question

Two vibrating strings of the same material but lengths L and 2 L have radii 2 r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency v₁ and the other with frequency v₂ . The ratio v₁ / v₂ is

Quantrex Academy · Accepted Answer

Correct answer: D. 1

Fundamental frequency, array ll & v= 1 2 l T m = 1 2 l T r^2 or & v 1 l r & v₁ v₂ = l₂ r₂ l₁ r₁ = 2 L r L 2 r =1 array

Two vibrating strings of the same material but lengths L and 2 L have radii 2 r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency v₁ and the other with frequency v₂ . The ratio v₁ / v₂ is

Options

Correct answer

Step-by-step solution

More from Waves and Sound