Two wires having same length and material are stretched by same force. Their diameters are in the ratio 1:3. The ratio of strain energy per unit volume for these two wires (smaller to larger diameter) when stretched isA. `3:1`B. `9:1`C. `27:1`D. `81:1`

Two wires having same length and material are stretched by same force.

1.	Two wires having same length and material are stretched by same force. Their diameters are in the ratio 1:3. The ratio of strain energy per unit volume for these two wires (smaller to larger diameter) when stretched isA. `3:1`B. `9:1`C. `27:1`D. `81:1`
Answer» Correct Answer - D `L_(1)=L_(2),y_(1)=y_(2),f_(1)=f_(2),(d_(1))/(d_(2))=(1)/(2),(u_(1))/(u_(2))=?` `(u_(1))/(u_(2))=(1)/(2)("stress")/(y)=(F^(2))/(d_(1)^(4))xx(d_(2)^(4))/(F_(1)^(2))=((d_(2))/(d_(1)))=(81)/(1)`

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Two wires having same length and material are stretched by same force. Their diameters are in the ratio 1:3. The ratio of strain energy per unit volume for these two wires (smaller to larger diameter) when stretched isA. `3:1`B. `9:1`C. `27:1`D. `81:1`

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