Question

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 is
A. 3 cm
B. `1.5` cm
C. 6 cm
D. 4 cm

Answer 1

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