First slide

Travelling wave

Question

The equation of a wave on string of linear mass density $0.04 k g / m$ is given by $y = 0.02 \sin [2 π (\frac{t}{0.04} - \frac{x}{0.50})]$ . The tension in the string is

Moderate

A

4 N
B

12.5 N
C

0.5 N
D

6.25 N

Solution

$W e k n o w t h a t v e l o c i t y o f w a v e o n t h e s t r i n g i s v, f r o m t h e g i v e n e q u a t i o n v e l o c t y o f t h e w a v e i s v = \frac{ω}{κ} o n s t r i n g V = \sqrt{\frac{T}{μ}} \Rightarrow V^{2} = \frac{T}{μ} \Rightarrow T = μ . v^{2} \Rightarrow T = μ \frac{w^{2}}{k^{2}} \Rightarrow T = 0.04 \times {(\frac{0.50}{0.04})}^{2} = 6.25 N$

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