A tiny metallic rectangular sheet has length and breadth 5 mm and 2.5 mm. Using a specially designed screw gauge of pitch 0.75 mm and 15 circular scale divisions, you find the area of the sheet. The maximum fractional error in the area is x/(100). The value of x is .

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Accepted Answer

3. L.C. =(0.75)/(15)=0.05 mm (the error in each measured length). Area =l× b, so (Δ A)/A=(Δ l)/l+(Δ b)/b=(0.05)/5+(0.05)/(2.5)=0.01+0.02=0.03. x/(100)=0.03⇒ x=3.

A tiny metallic rectangular sheet has length and breadth 5 mm and 2.5 mm. Using a specially designed screw gauge of pitch 0.75 mm and 15 circular scale divisions, you find the area of the sheet. The maximum fractional error in the area is x/(100). The value of x is ______.

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