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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 |
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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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