First slide

Standing waves

Question

A string fixed at both ends has consecutive standing wave modes for which the distances between adjacent nodes are 18 cm and 16 cm respectively. The minimum possible length of the string is

Moderate

A

144 cm
B

152 cm
C

176 cm
D

200 cm

Solution

$L = \frac{{mλ}_{1}}{2} and L = (m + 1) \frac{λ_{2}}{2}$
where m is no. of harmonic
$m . 36 = (m + 1) 32 \Rightarrow m = 8$
$L = 8 \times 18 = 144 cm$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App