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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 respectively, then the corresponding ratio of increase in their length is

A

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

B

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

C

`(2ac)/(b^(2))`

D

`(3c)/(3ab^(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))=3/2xx(l_(S))/(l_(b))xx(A_(b))/(A_(S))xx(Y_(b))/(Y_(S))=3/2xx(a)/(b^(2)c)`
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