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NEET UG PHYSICS MCQ: WAVES

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Understanding +4 | -1
Out of the given waves (1), (2), (3) and (4)
y=asin⁡(kx+ωt)y = a\sin \left( {kx + \omega t} \right) ...(11)
y=asin⁡(ωt−kx)y = a\sin \left( {\omega t - kx} \right) …(22)
y=acos⁡(kx+ωt)y = a\cos \left( {kx + \omega t} \right) …(33)
y=acos⁡(ωt−kx)y = a\cos \left( {\omega t - kx} \right) …(44)
Emitted by four different sources S1,S2,S3  and  S4{S_1},{S_2},{S_3}\,\,and\,\,{S_4} respectively, interference phenomena would be observed in space under appropriate conditions when
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Correct option: C
Source S2{S_2} emits wave (22) and S4{S_4}  emits wave (44)
Option C (Source S2{S_2} emits wave (22) and S4{S_4}  emits wave (44)) is correct because for interference to occur, the waves must be coherent, meaning they have a constant phase difference. Waves (2) and (4) are both traveling in the +x direction and have the same form, thus they can interfere.

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