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One end of a 600 cm long steel bar is fi...

One end of a 600 cm long steel bar is fixed rigidly and the other end rests on a lever, 10 cm away from its fulcrum. The lever turns through `2^(@)` when the bar is heated up to `50^(@)C.` Find the increase in length of the bar and its coefficient of linear expansion.

Text Solution

Verified by Experts

The increase in length of the bar,
`l=r_(theta)=10 times (2times pi)/180=pi/9=0.349 cm`
`therefore` Coefficient of linear expansion of the material of the bar,
`alpha="increase in length"/("initial length" times " rise in temperature")`
`" "=0.349/(600 times 50)=11.6 times 10^(-6@)C^(-1).`
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