A string is producing transverse vibration whose equation is y = 0.021sin (x + 30t) , Where x and y

English

Gujarati

Hindi

14.Waves and Sound

medium

A string is producing transverse vibration whose equation is $y = 0.021\;\sin (x + 30t)$, Where $x$ and $y$ are in meters and $t$ is in seconds. If the linear density of the string is $1.3 \times {10^{ - 4}}\,kg/m,$ then the tension in the string in $N$ will be

A

$10$

B

$0.5$

C

$1$

D

$0.12$

Solution

(d) $y = 0.021\sin (x + 30t)$==> $v = \frac{\omega }{k} = \frac{{30}}{1} = 30\,m/s$.

Using, $v = \sqrt {\frac{T}{m}} \Rightarrow 30 = \sqrt {\frac{T}{{1.3 \times {{10}^{ – 4}}}}} \Rightarrow T = 0.117\,N$

Standard 11

Physics

Share

Similar Questions

A uniform metal wire of density $\rho $, cross-sectional area $A$ and length $L$ is stretched with a tension $T$. The speed of transverse wave in the wire is given by

medium

Calculate the frequency of the second harmonic formed on a string of length $0.5 m$ and mass $2 × 10^{-4}$ kg when stretched with a tension of $20 N$ …. $Hz$

medium

In Melde’s experiment in the transverse mode, the frequency of the tuning fork and the frequency of the waves in the strings are in the ratio

easy

A stretched string is vibrating in its $5^{th}$ harmonic as shown. Consider a particle $1(figure)$. At an instant this particle is at mean positions and is moving towards its negative extreme. Which of the following set of particles, are in same phase with particle $1$

easy

A string is clamed at both the ends and it is vibrating in its $4^{th}$ harmonic. The equation of the stationary wave is $Y =0.3\,sin\,(0.157\,x) \,cos\,(200\pi t)$. The length of the string is ….. $m$ (all quantities are in $SI$ units)

medium

(JEE MAIN-2019)