MCQ
A transverse harmonic wave on a string is given by $y(x, t)=5 \sin (6 t+0.003 x)$ where $x$ and $y$ are in $cm$ and $t$ in $sec$. The wave velocity is $...........\,ms ^{-1}$.
- A$10$
- B$5$
- C$30$
- ✓$20$
✓
Answer
Correct option: D.
$20$
d
$y(x, t)=5 \sin (6 t+0.003 x)$
$y(x, t)=5 \sin (6 t+0.003 x)$
$k =0.003\,cm ^{-1}, \quad \omega=6\,rad / s , v =\frac{\omega}{ k }$
$\Rightarrow \frac{6}{0.003 \times 10^2}=20\,ms ^{-1}$
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