1.

The two individual wave functions are `y_(1)=(5" cm")sin (4x-t)and y_(2)=(5" cm") sin (4x + t)` ltbrrgt where, x and y are in centimetres. Find out the maximum displacement of the motion at ` x = 2.0` cm.A. `9.89` cmB. 8 cmC. `8.39` cmD. `7.69` cm

Answer» Correct Answer - a
Given, `y_(1)=(5" cm")sin (4x-t)and y_(2)=(5" cm") sin (4x + t)`
We know `y=(2A sin kx )cos omegat`
Compare `y_(1)=(5" cm") sin (4x-t)` with `y_(1) = A sin (kx-omegat)`
`A=5, k=4 and omega = 1`
`Now, " y"_("max") = 10 sin 4x|_(x=2.0,`
`10 xx sin (4xx2) = 10 sin (8xx(180^(@))/pi)`
`rArr " y"_("max")=9.89" cm"`


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