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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringEquation/graphMedium3 minQB

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A transverse wave is passing through a light string shown in the figure. The equation of the wave is $y = A sin (ω t - k x)$ . The area of cross-section of the string is $A$ and density is $ρ$ . The hanging mass is:

Options:

Answer:

Solution:

The hanging mass sets the tension:
$T = m g$
Wave speed on the string (mass per unit length $μ = ρ A$ ):
$v = \frac{ω}{k} = \frac{T}{μ}$
$T = μ v^{2} = ρ A \frac{ω ^{2}}{k ^{2}}$
$m = \frac{T}{g} = \frac{ρ A ω ^{2}}{k ^{2} g}$
Option (C).

Subject:PhysicsTopic:Wave on StringSubtopic:Equation/graph

⏱ 3mℹ️ Source: QB

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