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If the ratio of lengths, radii and Young...

If the ratio of lengths, radii and Young's moduli of steel and brass wires in the figure are a,b and c repectively then the corresponding ratio of increase in their lengths is

A

`2a^(2)c//b`

B

`3a//2b^(2)c`

C

`2ac//b^(2)`

D

`3c//2ab^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`T_(S)=3mg`
`(3mg)/A_(s)=y_(S)xx(Deltal_(S))/l_(S)`
`(2mg)/A_(b)=y_(b)xx(Deltal_(b))/l_(b)`
`(Deltal_(s))/(Deltal_(b))=3/2xxl_(s)/l_(b)xxA_(b)/A_(S) xxy_(b)/y_(S)=3/2xxa/(b^(2)c)`
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