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A metal washer has a hole of diameter d₁ and an external diameter d₂ such that d₂ = 3d₁. If on heating d₂ increases by 0.3% then d₁

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a

increases by 0.3%

b

decreases by 0.1%

c

decreases by 0.3%

d

increases by 0.1%

answer is D.

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Detailed Solution

If rise in temperature is ▲t, then increase of a circle is given by $\Delta d = d.\alpha .\Delta t$

$\therefore$ Percentage increase $= \frac{{\Delta d}}{d} \times 100\%$

$= \alpha .\Delta t \times 100\%$

Since percentage change depends upon α and ▲t, option (4) is right

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