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[" Two vibrating string of the same "],[" material but lengths "L" and "2L" have "],[" radii "2" rand "r" respectively.They are "],[" stretched under the same tension."],[" Both the strings vibrate in their "],[" fundamental modes,the one of length "],[L" with frequency "n_(1)" and the other with "],[" frequency "n_(2)" .The ratio "n_(1)/n_(2)" is given "],[" by "]

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Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency n_(1) and the other with frequency n_(2) the ratio n_(1)//n_(2) is given by

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency n_(1) and the other with frequency n_(2) the ratio n_(1)//n_(2) is given by

Two vibrating strings of the same material but lengths L and 2L have radii 2 r and r respectively. They are strectched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency n_(1) and the other with frequency n_(2) . The ratio n_(1)//n_(2) is given by 2 4 8 1

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the string vibrate in their fundamental nodes, the one of length L with freuqency v_(1) and the other with frequency v_(2) . the ratio v_(1)//v_(2) is given by

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the string vibrate in their fundamental nodes, the one of length L with freuqency v_(1) and the other with frequency v_(2) . the ratio v_(1)//v_(2) is given by

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the string vibrate in their fundamental nodes, the one of length L with freuqency v_(1) and the other with frequency v_(2). the raio v_(1)//v_(2) is given by