Uncategorized: Practice Problem & Solution
A wave travelling in the +ve x-direction having displacement along y-direction as $1text{ m}$, wavelength $2\pitext{ m}$ and frequency of $1/\pitext{ Hz}$ is represented by: (2013)
Solution Explained:
To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:
Given amplitude $A = 1text{ m}$, wavelength $\lambda = 2\pitext{ m}$, and frequency $f = 1/\pitext{ Hz}$. Wave number $k = 2\pi/\lambda = 1$. Angular frequency $\omega = 2\pi f = 2$. The wave equation for +ve x-direction is $y = A\sin(kx - \omega t) = \sin(x - 2t)$.
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