MCQ
Which of the following equations represents a wave
- A$Y = A(\omega \,t - kx)$
- B$Y = A\sin \omega \,t$
- C$Y = A\cos kx$
- ✓$Y = A\sin (at - bx + c)$
✓
Answer
Correct option: D.
$Y = A\sin (at - bx + c)$
d
(d) $y = A\sin (at - bx + c)$ represents equation of simple harmonic progressive wave as it describes displacement of any particle $(x)$ at any time $(t)$.
(d) $y = A\sin (at - bx + c)$ represents equation of simple harmonic progressive wave as it describes displacement of any particle $(x)$ at any time $(t)$.
or It represents a wave because it satisfies wave equation $\frac{{{\partial ^2}y}}{{\partial {t^2}}} = {v^2}\frac{{{\partial ^2}y}}{{\partial {x^2}}}$.
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