$A$ stretched string is fixed at both ends. It is made to vibrate so that the total number of nodes formed in it is '$x$'. The length of the string in terms of the wavelength of waves formed in it is $(\lambda = \text{wavelength})$

  • A
    $\frac{x \lambda}{2}$
  • B
    $\left(x+\frac{1}{2}\right) \frac{\lambda}{2}$
  • C
    $(x-1) \frac{\lambda}{2}$
  • D
    $(x+1) \frac{\lambda}{2}$

Explore More

Similar Questions

$A$ stationary wave is represented by $y = 10 \sin \left( \frac{\pi x}{4} \right) \cos (20 \pi t)$,where $x$ and $y$ are in $cm$ and $t$ is in seconds. The distance between two consecutive nodes is (in $cm$)

The correct statement about stationary waves is that

The equation of a stationary wave is given by $y = 5 \cos \left( \frac{\pi x}{3} \right) \sin (40 \pi t) \text{ cm}$. What is the distance between two consecutive nodes in $\text{cm}$?

$A$ suspension bridge is to be built across a valley where it is known that the wind can gust at $5 \,s$ intervals. It is estimated that the speed of transverse waves along the span of the bridge would be $400 \,m/s$. The danger of resonant motions in the bridge at its fundamental frequency would be greater if the span had a length of .......... $m$.

“Stationary waves” are so called because in them

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo