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Question

Two strings A and B made of same material, have lengths lA and lB and are connected to two other comparitively denser medium strings having masses MA and MB, the upper ends being supported by rigid supports. If fA and fB are their fundamental frequencies of their vibrations, then fA:fB is

A
MAlAMBlB
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B
lAlBMAMB
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C
MAMBlAlB
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D
None of these
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Solution

The correct option is D None of these

Both the strings will vibrate as if their both ends are fixed.
At equilibrium,
TA=MAg and TB=MBg
Fundamental frequency.
f=V2l=12lTμ
fAfB=TATB×lBlA
fA:fB=lBlAMAMB
fA:fB=lBlAMAMB

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