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Grade: 12

                        

Two wires of different densities but same area of cross section are soldered together at one end are stretched to a tension T. The velocity of a transverse wave in the first wire is double of that in the second wire. Find the ratio of the density of the first wire to that of the second wire.

3 years ago

Answers : (3)

Saurabh Koranglekar
askIITians Faculty
8394 Points
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5 months ago
Saurabh Koranglekar
askIITians Faculty
8394 Points
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5 months ago
Arun
24738 Points
							
Let the velocity of the 1st string will be V1
v1=m1T
 because m1= mass per unit lenght = l1ρ1a1l1=ρ1a1
where a1 = area pf the cross section
v1=ρ1a1T 
Let the velocity of the 2nd string will be V2
v2=m2T
v2=ρ2a2T 
given that V1=V2
ρ1a1T=2ρ2a2T
ρ2ρ1=41
ρ1:ρ2=1:4 ( because a1=a2)
5 months ago
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