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An aluminium wire and a steel wire of th...

An aluminium wire and a steel wire of the same length and cross section are joined end to end. The composite wire is hung from a rigid support and the load is suspended at the free end. If `Y_(AL) = 7xx10^(10) N//m^(2)` and `Y_("steel") = 7xx10^(11) N//m^(2)`, the ratio of elongation of aluminium and steel wires is

A

`e_(A)/e_(S) = 5`

B

`e_(A)/e_(S) = 8`

C

`e_(A)/e_(S) = 10`

D

`e_(A)/e_(S) = 2.5`

Text Solution

Verified by Experts

The correct Answer is:
C
`e prop (1)/(Y) :. (e_(A))/(e_(s)) = (Y_(s))/(Y_(A)) = (7 xx 10^(11))/(7 xx 10^(10)) = 10`
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