Home › MCQs › EEJ MAIN Physics › Question #7032
Back to Questions
EEJ MAIN Physics QUESTION #7032
Question 1
A harmonic wave is defined by the equation $y(x,t) = 10^{-3} \sin(50t + 2x)$, where variables are in SI units. Which statement regarding this wave is accurate?
  • The wave moves in the negative x-direction at $25\text{ ms}^{-1}$✔️
  • The wave moves in the positive x-direction at $100\text{ ms}^{-1}$
  • The wave moves in the positive x-direction at $25\text{ ms}^{-1}$
  • The wave moves in the negative x-direction at $100\text{ ms}^{-1}$
Correct Answer Explanation
The general form is $y = A \sin(\omega t + k x)$. Since the sign between $\omega t$ and $kx$ is positive, the wave travels in the negative x-direction. Velocity $v = \frac{\omega}{k} = \frac{50}{2} = 25\text{ ms}^{-1}$.