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The equation of a stationary wave along a stretched string is given by `y = 4 sin frac{2pi"x"}{3} cos 4Opit` where, x and y are in cms and t is in sec. The separation between two adjacent nodes isA. 3 cmB. `1.5` cmC. 6 cmD. 4 cm |
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Answer» Correct Answer - b Compare the giben equation with the standerd form of stationary wave equation `y=2r sin frac{2pix}{lambda} cos frac{2rpivt}{lambda}` we get, ` frac{2pix}{lambda}= frac{2rpivt}{3}` `rArr lambda = 3` cm `therefore` Separation between two adjacent nodes `=lambda/2=1.5` cm |
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