For r = A sin [ α 2 x − y ] cos [ ω t − α 2 x + y ] , which line has all points always at rest?

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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringWavesHard2 minQB

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For $r = A sin [α \frac{x - y}{2}] cos [ω t - α \frac{x + y}{2}]$ , which line has all points always at rest?

Options:

Answer:

Solution:

Need $sin [α (x - y) /2] = 0$ , i.e. $α (x - y) /2 = nπ$ . For $y = x + 2 π / α$ this is $- π$ , which works. The others give $- π /2, - π /4, - 3 π /2$ , which do not.

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Waves

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