A sonometer wire, 100 cm in length has fundamental frequency of 330 Hz. The velocity of propagation of transverse waves along the wire is

Question

A sonometer wire, 100 cm in length has fundamental frequency of 330 Hz. The velocity of propagation of transverse waves along the wire is (A) 330 m / s (B) 660 m / s (C) 115 m / s (D) 990 m / s

Tardigrade Admin · Accepted Answer

For fundamental mode (λ / 2)=100 cm or λ=200 cm As n=330 Hz, hence v=n λ=330 × (200/100)=660 m / s

Q. A sonometer wire, $100 c m$ in length has fundamental frequency of $330 Hz$ . The velocity of propagation of transverse waves along the wire is

$330 m / s$

$660 m / s$

$115 m / s$

$990 m / s$

For fundamental mode
$(λ /2) = 100 c m$ or $λ = 200 c m$
As $n = 330 Hz$ , hence
$v = nλ = 330 \times \frac{200}{100} = 660 m / s$

Q. A sonometer wire, 100cm in length has fundamental frequency of 330Hz. The velocity of propagation of transverse waves along the wire is

330m/s

660m/s

115m/s

990m/s