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A musical instrument is made using four different metal strings. 1,2,3 and 4 with mass per unit length μ,2μ,3μ and 4μ respectively. The instrument is played by vibrating the strings by varying the free length in between the range L0 and 2L0 . It is found that in string- 1 ( μ) at free length L0 and tension T0 the fundamental mode frequency is f0. List-I gives the above four strings while List-II lists the magnitude of some quantity. List-I List-II(i)String-1(μ)(P)1(ii)String-2(2μ)(Q)1/2(iii)String- 3(3μ)(R)1/√2(iv)String-4(4μ)(S)1/√3 (T)3/16 (U)1/16If the tension in each string is T0, the correct match for the highest fundamental frequency in f0 units will be, |
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Answer» A musical instrument is made using four different metal strings. 1,2,3 and 4 with mass per unit length μ,2μ,3μ and 4μ respectively. The instrument is played by vibrating the strings by varying the free length in between the range L0 and 2L0 . It is found that in string- 1 ( μ) at free length L0 and tension T0 the fundamental mode frequency is f0. List-I gives the above four strings while List-II lists the magnitude of some quantity.
If the tension in each string is T0, the correct match for the highest fundamental frequency in f0 units will be, |
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