Three aone dimensional mechanical waves in an elastic medium are given as y1=2Asin(ωt−kx),y2=2Asin(ω−kx+ϕ) y3=2Asin(ωt+kx+π4) . For any value of ϕ , the maximum displacement amplitude of the medium particles would be
A
5A
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B
3A
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C
6A
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D
4A
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Solution
The correct option is C6A (y1+y3)→Standingwaves (y1+y3)→Maxamplitudewillbe4A Now(y1+y2+y3)max=4A+2A=6A