A steel rod of length `1 m` is heated from `25^@ “to” 75^@ C` keeping its length constant. The longitudinal strain developed in the rod is ( Given, coefficient of linear expansion of steel = `12 xx 10^-6//^@ C`).
A. `6 xx 10^-4`
B. `-6 xx 10^-5`
C. `-6 xx 10^-4`
D. zero
A. `6 xx 10^-4`
B. `-6 xx 10^-5`
C. `-6 xx 10^-4`
D. zero
Correct Answer – C
It means rod is compressed from its natural length by `Delta l`.
`:.` Strain `= – (Delta l)/l = -(l Delta alpha Delta theta)/l`
`= (- alpha d theta) = – (12 xx 10^-6)(50)`
= `- 6 xx 10^-4`.