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The equation of a wave is given by y = 10 ((2 pi )/(45) t + alpha ) . If the displacement is 5 cm at t = 0 , then the total phase at t = 7.5 sec. is : |
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Answer» `(pi)/(3)` at t = 0, y = 25 cm `therefore ` 5 = 10 sin `(0 + alpha) rArr(1)/(2) = sin alpha` `therefore alpha = 30^(@) or (pi)/(6)` radians. Now att = 7.5s. Total phase is `phi = (2pi xx 7.5)/(45) + (pi)/(6) ` `phi = (pi)/(3) + (pi)/(6)= (pi)/(2) ` So correct CHOICE is (b). |
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