Question

The equation of two progressive waves is given by y1 = Asin(kx-wt) and y2 = Asin(kx wt+θ) , then amplitude of medium particle will be

Answer 1

answer : option (4) 2Asinθ/2

The equation of two progressive waves is given by y1 = Asin(kx - ωt) and y2 = Asin(kx - ωt + θ)

then we have to find amplitude of medium particle.

using formula, A_r= √{A1² + A2² + 2A1.A2cosΦ}

where Φ is phase difference.

here, A1 = A , A2 = A and Φ = θ

so, A_r = √{A² + A² + 2A.Acosθ}

= √{2A² + 2A²cosθ}

= A√{2 + 2cosθ}

= A√{2(1 + cosθ)}

[ using formula, 1 + cos2x = 2sin²x ]

= A√{2(2sin²θ/2)}

= A√{4sin²θ/2}

= 2Asinθ/2

hence option (4) is correct choice.

also read similar questions : Find vector sum of 2 equations...... 1)A1=asin(wt-kx) and A2=acos(wt-kx)

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The equation of spherical progressive wave is

(1) y = Asin(kx –ot) (2) y = sin(kx – ot)

(3) y = #sin(kx - ot) (4) y = si...

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Answer 2

Explanation:

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