Two wires of the same material and length but diameters in the ratio 1 : 2 are stretched by the same force. The potential energy per unit volume for t

Question

Two wires of the same material and length but diameters in the ratio 1 : 2 are stretched by the same force. The potential energy per unit volume for t

Two wires of the same material and length but diameters in the ratio 1 : 2 are stretched by the same force. The potential energy per unit volume for the two wire when stretched will be in the ratio
A. `16 : 1`
B. `4 : 1`
C. `2 : 1`
D. `1 : 1`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - a
As energy density `= (1)/(2)` stress `xx` strain
`= (1)/(2)` stress `xx ("stress")/(Y) = (("stress")^(2))/(2y) prop (1)/(D^(4))`
Now, `(U_(A))/(U_(B)) = (D_(B)^(4))/(D_(A)^(4)) = (2)^(4) = 16`
(where `U_(A)` and `U_(B)` are energy densities)

4 views Answered 2023-02-05 15:29