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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringWavesMedium2 minQB

PhysicsMediummultiple choice

Two waves travelling in opposite directions produce a standing wave. The individual wave functions are $y_{1} = 4 sin (3 x - 2 t)$ cm and $y_{2} = 4 sin (3 x + 2 t)$ cm, where $x$ and $y$ are in cm:

Options:(select one or more)

Answer:

A, C, D

Solution:

$y = y_{1} + y_{2} = 8 sin 3 x cos 2 t$ . At $x = 2.3$ : $8 sin 6.9 = 8 \times 0.578 = 4.63$ cm. Nodes: $3 x = nπ$ , $x = 0, π /3, 2 π /3, \dots$ . Antinodes: $3 x = π /2, 3 π /2, \dots$ , $x = π /6, π /2, 5 π /6, \dots$ .

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Waves

⏱ 2mℹ️ Source: QB

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