1.

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

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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