The displacement of a particle in a medium is y = 1 0 − 4 sin [ 100 t + 20 x + 3 π ] m , where t is in second and x is in metre. The speed of the wave is

Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringEquation/graphEasy2 minPYQ_2022

PhysicsEasysingle choice

The displacement of a particle in a medium is $y = 1 0^{- 4} sin [100 t + 20 x + \frac{π}{3}] m$ , where $t$ is in second and $x$ is in metre. The speed of the wave is

Options:

Answer:

Solution:

The equation can be written in the form of, $y = y_{0} sin (ω t + k x + ϕ)$ where, $ω = 100/ s$ and $k = 20/ m$ The velocity of a travelling wave is given by, $v = ω / k$ Hence, substituting the values, $v = \frac{100}{20} = 5 m / s$

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

⏱ 2mℹ️ Source: PYQ_2022

Doubts & Discussion

Loading discussions...