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Find the increase in temperature of alum...

Find the increase in temperature of aluminium rof if its length is to be increased by 1%.(`alpha` fopr aluminium = `25 xx 10^(-6)//^(0)`C )

Text Solution

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Percentage increase in length
= `("Increase in length")/("Initial length") xx 100 = (l_(2) - l_(1))/(l_(1)) xx 100`
But `(l_(2) - l_(1))/(l_(1)) = alpha (t_(2) - t_(1))`
`therefore ` Percentage increase in length = = `alpha (t_(2) - t_(1)) xx 100`
Here, `alpha = 25 xx 10^(-6) //^(0) C ,`
percentage increase in length = 1
` 1 =25 x 10^(-6) (t_(2) - t_(1)) xx 100 `
` t_(2) - t_(1) (1)/(25 xx 10^(-4)) = (10^(4))/(25) = 400^(0) C ` .
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