- A$\lambda = \pi A/4$
- ✓$\lambda = \pi A/2$
- C$\lambda = \pi A$
- D$\lambda = 2\pi A$
Hence, the maximum particle velocity $=\pm A \omega$ which is at the mean position.
From the given equation of wave$:$
$y=A \sin \left(2 \pi f t-2 \pi \frac{x}{\lambda}\right)$
From the wave equation, $\omega=2 \pi f$
and wave velocity, $v=\frac{\omega}{k}=\frac{2 \pi f}{\frac{2 \pi}{\lambda}}$
$v=\lambda f$
From the given condition$:$
$A \times 2 \pi f=4 \lambda f$
$\lambda=\frac{\pi A}{2}$
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$(A)$ $v_0^2-2 g h=\frac{1}{2} g R$
$(B)$ $v_0^2-2 g h=\frac{\sqrt{3}}{2} g R$
$(C)$ the centripetal force required at points $x$ and $z$ is zero
$(D)$ the centripetal force required is maximum at points $x$ and $z$


$I.$ Waves created on the surfaces of a water pond by a vibrating sources.
$II.$ Wave created by an oscillating electric field in air.
$III.$ Sound waves travelling under water.
Which of these can be polarized
