The equations- y 1-asin- t - kx and y 2-asin- t - kx are for two waves- then the waves will-A- Move in the same direction with equal amplitudeB- Move in opposite direction with the same speed and the same frequencyC- Produce beats by superpositionD- Produce stationary waves by superposition

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Expression for Standing Waves

The equations...

Question

The equations: $y_{1} = a s i n (ω t - k x)$ and $y_{2} = - a s i n (ω t + k x)$ are for two waves, then the waves will:

Move in the same direction with equal amplitude

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Move in opposite direction with the same speed and the same frequency

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Produce beats by superposition

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Produce stationary waves by superposition

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Solution

The correct options are
B
Move in opposite direction with the same speed and the same frequency

D
Produce stationary waves by superposition

Theory based. Stationary waves are produced when two waves move in opposite direction. Beats are produced when two waves of slightly different frequency superimpose.

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The equations: y1=asin(ωt–kx) and y2=–asin(ωt+kx) are for two waves, then the waves will:

The equations: $y_{1} = a s i n (ω t - k x)$ and $y_{2} = - a s i n (ω t + k x)$ are for two waves, then the waves will: