Two vibrating strings of same length, same cross section area and stretched to same tension is made of materials with densities ρ and 2ρ.Each string is fixed at both ends. If v1 represents the fundamental mode of vibration of the one made with density ρ and v2 for another, then v1v2 is:
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a
12
b
2
c
2
d
12
answer is C.
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Detailed Solution
Velocity of sound is inversely proportional to the square root of density of the medium.i.e., V.ρ = constant⇒V1V2 = ρ2ρ1 = 2ρρ = 2