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If `v_(1) , v_(2) and v_(3)` are the fundamental frequencies of three segments of stretched string , then the fundamental frequency of the overall string isA. `v_(1) + v_(2) + v_(3)`B. `[(1)/(v_(1)) + (1)/(v_(2)) + (1)/( v_(3))]^(-1)`C. `v_(1) v_(2) v_(3)`D. `[v_(1) v_(2) v_(3)]^(1//3)` |
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Answer» Correct Answer - B `l = l_(1) + l_(2) + l_(3)` [ `because v prop (1)/(l)`] `(k)/(v) = (k)/(v_(1)) + (k)/(v_(2)) + (k) + (k)/( v_(3))` `(1)/(v) = (1)/(v_(1)) + (1)/( v_(2)) + (1)/(v_(3))` `v = [(1)/(v_(1)) + (1)/( v_(2)) + (1)/(v_(3))]^(-1)` |
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