Question

Two stretched strings of same material and same radius having lengths $75cm$ and $150cm$ are in resonance when they are stretched by masses $1kg$ and $2kg$ respectively. The velocities of transverse waves in these strings are in the ratio

• A. $1:4$
• B. $\sqrt{3}:1$
• C. $1:\sqrt{2}$
• D. $1:2$

Answer 1

The correct option is C $1:\sqrt{2}$

$f\propto \frac{v}{l}$
velocity $v=\sqrt{\frac{T}{\mu }}$
$\frac{v_1}{v_2}=\frac{1}{\sqrt{2}}$