1.

If a wire is extended to a new length l, the work done is .........

Answer»

`(YA (l -l'))/(l)`
`(YA (l -l' ) ^(2))/(l)`
`(1)/(2) (YA)/(l) (l-l')^(2)`
`2 (YA)/(l) (l-l')^(2)`

Solution :`Y= ((F)/(A))/( (DELTAL )/(l ))`
`therefore F = (YA)/( l ) . Delta l =k. Delta l`
`therefore` Force `PROP` extension
If the extension is x, work done in extending by dx
`dW = F. dx = KX dx`
`therefore W = 1/2 kx ^(2) `
`If x is l .-l =x`
`W = 1/2 k (l.-l)^(2)`
MEANS work DONC `= 1/2 (YA)/(l) (l -1l.)^(2)`


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