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A wave of angular frequency `omega` propagates so that a certain phase of oscillation moves along x-axis, y-axis, z-axis with speeds `c_(1) c_(2)` and `c_(3)` respectively.A. `(omega)/(sqrt(c_(1)^(2)+c_(2)^(2)+c_(3)^(2)))(hat(i)+hat(j)+hat(k))`B. `(omega)/(c_(1))hat(i)+(omega)/(c_(2))hat(j)+(omega)/(c_(3))hat(k)`C. `(omegahat(i) + omegahat(j) +omegahat(k))(1)/(c )`D. None of these |
Answer» Correct Answer - B Propagation constant is a vector quantity. `therefore " "k=k_(x)hat(i)+k_(y)hat(j)+k_(2)hat(k)` Here, `k_(x) = (omega)/(v_(x)) = (omega)/(c_(1))` `k_(y) = (omega)/(v_(y)) = (omega)/(c_(2))` and `k_(z) = (omega)/(v_(z))= (omega)/(c_(3))` `therefore " "k = (omega)/(c_(1))hat(i) + (omega)/(c_(2))hat(j) + (omega)/(c_(3))hat(k)` |
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