Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringEquation/graphEasy2 minPYQ_2023

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A travelling wave is described by the equation $y (x, t) = [0.05 \sin (8 x - 4 t)] m$ . The velocity of the wave is:

[All the quantities are in SI unit]

Answer:

Solution:

The given wave equation is of the form:

$y = A \sin (k x - ω t)$

with $k = 8$ and $ω = 4$

Since, $k = \frac{2 π}{λ}$ and $ω = 2 πf$

Then, $\frac{ω}{k} = f λ = v$

$\Rightarrow v = \frac{4}{8} = 0.5 m s^{- 1}$

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Equation/graph

⏱ 2mℹ️ Source: PYQ_2023

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