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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringWavesMedium2 minQB

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A transverse wave is propagating along $+ x$ direction. At $t = 2$ s, the particle at $x = 4$ m is at $y = 2$ mm. With the passage of time its $y$ coordinate increases and reaches a maximum of 4 mm. The wave equation is (using $ω$ and $k$ with their usual meanings):

Options:

Answer:

Solution:

A $+ x$ wave has $ω t - k x$ , which excludes A and B. At $t = 2, x = 4$ the phase is $ϕ$ with $4 sin ϕ = 2$ , so $ϕ = π /6$ or $5 π /6$ . Since $y$ is increasing, $cos ϕ > 0$ , so $ϕ = π /6$ . That is option D.

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Waves

⏱ 2mℹ️ Source: QB

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