InterviewSolution
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InterviewSolution
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Two uniform strings `A and B` made of steel are made to vibrate under the same tension. If the first overtone of `A` is equal to the second overtone of `B` and if the radius of `A` is twice that of `B`, the ratio of the lengths of the strings isA. `2 : 1`B. `3 : 2`C. `3 : 4`D. `1 : 3` |
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Answer» Correct Answer - D According to equation `2 n_(1) = 3n_(2)` or `(2)/( 2l_(1)) sqrt((T)/(m_(1))) = (3)/( 2 l_(2)) sqrt((T)/(m_(2)))` or `(l_(1))/(l_(2)) = (2)/(3) sqrt((m_(2))/(m_(1))) = (2)/(3) sqrt(( a_(2) rho)/( a_(1) rho))` or `(l_(1))/(l_(2)) = (2)/(3) sqrt((r_(r)^(2))/(r_(1)^(2))) = (2)/(3) sqrt(((1)/(2))^(2)` or `(l_(1))/(l_(2)) = (1)/(3)` |
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