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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringEquation/graphEasy2 minPYQ_2021

PhysicsEasysingle choice

A transverse wave given by $y = 2 sin (0.01 x + 30 t)$ moves on a stretched string from one end to another end in 0.5 second. If ' $x$ ' and ' $y$ ' are in $cm$ and ' $t$ ' is in second, then the length of the string is

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Solution:

Comparing with the standard equation $y = A sin (kx + ω t)$ we get $k = 0.01 rad / cm$ and $ω = 30 rad / s$ speed of the wave, $v = \frac{ω}{k} = \frac{30}{0.01} = 300 cm / s = 30 m / s$ $∴$ Distance $= vt = 30 \times 0.5 = 15 m$

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

⏱ 2mℹ️ Source: PYQ_2021

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