Download App

14. waves and sound — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
A transverse wave is represented by the equation $y = {y_0}\sin \frac{{2\pi }}{\lambda }(vt - x)$ For what value of  $\lambda$, the maximum particle velocity equal to two times the wave velocity
  • A
    $\lambda = 2\pi {y_0}$
  • B
    $\lambda = \pi {y_0}/3$
  • C
    $\lambda = \pi {y_0}/2$
  • ✓
    $\lambda = \pi {y_0}$
✓

Answer

Correct option: D.
$\lambda = \pi {y_0}$
d
(d) On comparing the given equation with standard equation $y = a\sin \frac{{2\pi }}{\lambda }(vt - x)$.

It is clear that wave speed ${(v)_{wave}} = v$ and maximum particle velocity

${({v_{\max }})_{particle}} = a\omega = {y_0} \times $ co-efficient of $t  = {y_0} \times \frac{{2\pi v}}{\lambda }$

${({v_{\max }})_{particle}} = 2 (\omega)_{wave}$ ==> $\frac{{a \times 2\pi v}}{\lambda } = 2v$ ==> $\lambda = \pi {y_0}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 14. waves and sound→14. waves and sound — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Dimensional formula for angular momentum is
→
What is the torque of a force $3\hat i + 7\hat j + 4\hat k$ about the origin, if the force acts on a particle whose position vector is $2\hat i + 2\hat j +1\hat k$ ?
→
The speed of a particle of mass $m$ denoted by $\frac{ d ^2 x}{ dt ^2}+$ $\alpha x=0$. Its angular frequency will :
→
If heat given to a system is $6 \,kcal$ and work done is $ 6 kJ.$ Then change in internal energy is ....... $kJ$
→
Graph $A-B$ is an adiabatic curve. Choose the correct statement
→
The Young's modulus of a wire of length $L$ and radius $r$ is $Y$. If the length is reduced to $\frac{L}{2}$ and radius is $\frac{r}{2}$ , then the Young's modulus will be
→
The Wien’s displacement law express relation between
→
Two identical spherical balls of mass $M$ and radius $R$ each are stuck on two ends of a rod of length $2R$ and mass $M$ (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is
→
A mass $m$ is placed at point $P$ lies on the axis of a ring of mass $M$ and radius $R$ at a distance $R$ from its centre. The gravitational force on mass $m$ is
→
A source of unknown frequency gives $4\,\, beats/s$ when sounded with a source of known frequency $250\,\, Hz.$ The second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency $513\,\, Hz.$ The unknown frequency is .... $Hz$
→