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The vibrations of string of length `60 cm` fixed at both ends are presented by the equations ` y = 4 sin ( pi x//15) cos ( 96 pi t)` where `x and y` are in cm and t in `s`. The maximum displacement at `x = 5 cm` isA. `2 sqrt(3) cm`B. `4 cm`C. zeroD. `4 sqrt(2) cm` |
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Answer» Correct Answer - A For ` x = 5 , y = 4 sin ((5 pi)/( 15)) cos (96 pi t)` ` = 2 sqrt(3) cos (96 pi t)` So , `y` will be minimum when `cos (96 pi t ) = max = 1` `y_(max) = 2 sqrt(3) "cm at" x = 5` |
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