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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 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
`TS=3 mg`
`(3mg)/A_s=ysxx(/_\l_s)`
`(2mg)/A_B=y_bxx(/_\l_b)/l_b`
`(/_\l_s)/(/_\l_b)=3/2xxl_S/l_bxxA_b/A_Sxxy_b/y_S=3/2xxa/(b^2c)`
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