A plane progressive wave is represented by the equation y = 0.25 cos (2πt - 2πx). The equation of a wave is with double the amplitude and half frequency but travelling in the opposite direction will be
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A plane progressive wave is represented by the equation y = 0.25 cos (2πt - 2πx). The equation of a wave is with double the amplitude and half frequency but travelling in the opposite direction will be

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G1 Physics · Accepted Answer

Step 1: Compare with y = A sin(ωt ± kx + φ): f = ω/(2π), λ = 2π/k and wave speed v = ω/k. Step 2: The sign of kx fixes the propagation direction; particle motion follows ∂y/∂t. Step 3: Apply these to the given coefficients. Final: D: y = 0.5 cos (πt + πx).

A plane progressive wave is represented by the equation y = 0.25 cos (2πt − 2πx). The equation of a wave is with double the amplitude and half frequency but travelling in the opposite direction will be