JAMB Physics 2021 Paper

Concept:The angular velocity of a wave is the coefficient of time in the phase of the sine function.Explanation:The general equation of a wave moving along the positive x-direction is $y = A \sin(\omega t - kx)$.Here, $\omega$ represents the angular velocity, $A$ is the amplitude, and $k$ is the wave number.The given equation is $y = 0.25 \times 10^{-3} \sin(500t - 0.025x)$.Compare the given equation with the general form.The term $500t$ corresponds to $\omega t$.So, $\omega = 500 \, \text{rad s}^{-1}$.Expressing $500$ in standard form gives $\omega = 5.00 \times 10^{2} \, \text{rad s}^{-1}$.This matches option C.Answer:C. $5.00 \times 10^{2} \, \text{rad s}^{-1}$