Answer the following by appropriately matching the lists based on the information given in the paragraph.A musical instrument is made using four different metal strings $$1$$, $$2$$, $$3$$ and $$4$$ with mass per unit length μ,$$2$$μ,$$3$$μ and $$4$$μ 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,

Question

Answer the following by appropriately matching the lists based on the information given in the paragraph.A musical instrument is made using four different metal strings $$1$$, $$2$$, $$3$$ and $$4$$ with mass per unit length μ,$$2$$μ,$$3$$μ  and $$4$$μ 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,

Infinity Learn · Accepted Answer

$$f0=To$$μ×$$12Lo$$∵Since, f∝$$1$$μ$$f1=f0f2=fo2f3=fo3f4=fo2$$

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