Two wires whose lengths are in the ratio 3:2, when stretched by equal weights, produce the same note. If the wires are made of different metals and their radii are in the ratio 1:2, then determine the ratio of the densities of the two metals.
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Answer: R
1
=
A
2
ρ
1
L
2
A
1
ρ
1
L
1
=(
L
2
L
1
)(
A
1
A
2
)
Given
L
2
L
1
=
3
2
A
2
A
1
=
2
3
⇒
R
2
R
1
=
3
2
×
3
2
R
2
R
1
=
9
4
Explanation:
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