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Young's moduli of two wires A and B are...

Young's moduli of two wires A and B are in the ratio `7:4` wire A is `2m` long and has radius R. . wire B is `1.5 m `long has radius `2mm` for a given load , then the value of `R` is close to:

A

1.5 mm

B

1.3 mm

C

1.7 mm

D

1.9 mm

Text Solution

Verified by Experts

The correct Answer is:
C

`Deltal=(Fl)/(AY)`
`(L_(1))/(A_(1)Y_(1))=(L_(2))/(A_(2)Y_(2))rArr(2)/(R^(2)xx7)=(1.5)/(4xx4)rArrR=sqrt((64)/(21))square1.7mm`
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