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A wave disturbance in a medium is described by `y(x, t) = 0.02 cos((50pit + (pi)/(2))cos(10pix)` where `x and y` are in meter and `t` is in second`A. (a) A node occurs at `x = 0.15 m`B. (b) A antinode occurs at `x = 0.3 m`C. ( c ) A speed wave is `5 ms^(-1)`D. (d) A wave lengthis `0.3 m` |
Answer» Correct Answer - C ( c ) Comaring it with `y(x, t) = A cos(omegat + pi//2)coos k x` If `k x = pi//2`, a node occurs, :. `10pi x = pi//2 rArr x = 0.05m` If `k x = pi`,an antinode occurs rArr `10pix = pi rArr x = 0.1m` aAlso speed of wave `= (omega)/(k) = (50)/(10pi) = 5m//s` and `lambda = 2pi//k = 2pi//10pi = 0.2m` |
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