Q.

Two vibrating strings of the same material but lengths L and 2 L have radii 2.r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length I with frequency n, and the other with frequency n2. The ratio n1, / n2, is given by

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a

2

b

4

c

8

d

1

answer is D.

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Detailed Solution

n1=12lT4πr2ρ and n2=14lTπr2ρ ∴ n1n2=2×12=1
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Two vibrating strings of the same material but lengths L and 2 L have radii 2.r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length I with frequency n, and the other with frequency n2. The ratio n1, / n2, is given by