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(i) For the wave on a string described in previous problem do all the points on the string oscillate with the same(a)frequency, (b) phase, ( c ) amplitude ? Explain your answers. (ii) What is the amplitudeof a point 0.375m away from one end ? |
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Answer» Solution :(i) All the points on the string (a) have the same FREQUENCY except at the nodes( wherefrequency is `costheta `) (b) have the same PHASE every where in one loop exceptat the nodes. (c ) however, the amplitudeof VIBRATION at different points is different. (ii)From y ( x,t) `0.06sin ((2pi)/(3) x )cos ( 120 pit )` The amplitude at `x = 0.375m` is `0.06 sin .( 2pi)/( 3) xx1= 0.06xxsin. ( 2pi)/(3) XX 0.375` `= 0.06 sin.(PI)/(4)=( 0.06)/(sqrt(2)) = 0.042 M` |
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