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Question

A steel meter scale is to be ruled so that millimeter intervals are accurate within about $$5 \times 10^{-5} \ mm$$ at a certain temperature. The maximum temperature variation allowable during the ruling is (Coefficient of linear expansion of steel$$=10 \times 10^{-6}\ K^{-1}$$)


A
2 C
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B
5 C
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C
7 C
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D
10 C
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Solution

The correct option is B $$5^{\circ}$$ C
In this case, change in length is allowed to be $$5\times10^{-5}$$ mm
Length of $$1$$ division $$= 1$$ mm
$$ \alpha = 10\times10^{-6} dt$$
putting all the values we get value of maximum temperature variation ($$dt$$) as $$5^0$$C

Physics

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