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A metal scale measures correct reading ...

A metal scale measures correct reading at `25^(@)C.` A rod is measured to be 80 cm by the scale at `15^(@)C`. What is the actual length of the rod? `(alpha=15 times 10^(-6@)C^(-1))`

Text Solution

Verified by Experts

The actual length l of measured 1 cm, using the metal scale at `15^(@)C`, should be
`l=1{1-0.000015 times (25-15)}`
`" "=1-0.00015=0.99985cm`
`therefore` The correct length corresponding to the measured 80 cm `=0.99985 times 80=79.988 cm.`
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