Question
The equation of wave is represented by $Y=10^{-4} \sin \left[100 t-\frac{x}{10}\right] \mathrm{m}$, then the velocity of wave will be(a) $100 \mathrm{~ms}^{-1}$(b) $4 \mathrm{~ms}^{-1}$(c) $1000 \mathrm{~ms}^{-1}$(d) zero
Step 1
We can compare this equation with the standard wave equation $Y=A \sin \left[2\pi \left(\frac{t}{T}-\frac{x}{\lambda}\right)\right]$, where $A$ is the amplitude, $T$ is the time period, and $\lambda$ is the wavelength. Show more…
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A wave is represented by the equation: $y=0.1 \sin (100 \pi t-k x)$. If wave velocity is $100 \mathrm{~m} / \mathrm{s}$, its wave number is equal to (A) $1 \mathrm{~m}^{-1}$ (B) $2 \mathrm{~m}^{-1}$ (C) $\pi \mathrm{m}^{-1}$ (D) $2 \pi \mathrm{m}^{-1}$
A wave is represented by the equation: $y=0.1 \sin (100 \pi t-k x) .$ If wave velocity is $100 \mathrm{~m} / \mathrm{s}$, its wave number is equal to (A) $1 \mathrm{~m}^{-1}$ (B) $2 \mathrm{~m}^{-1}$ (C) $\pi \mathrm{m}^{-1}$ (D) $2 \pi \mathrm{m}^{-1}$
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