In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by 0.5 mm on a complete rotation of the circular scale. [2023]

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Solution

Q.
In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by 0.5 mm on a complete rotation of the circular scale. The zero of circular scale lies 6 divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs, 4 linear scale divisions are clearly visible while 46th division the circular scale coincide with the reference line. The diameter of the wire is ____ $\times 10^{- 2}$ mm. [2023]

Ans.
(220)

$Least count = \frac{Pitch}{No. of circular divisions} = \frac{0.5 mm}{100}$

$Least count = 5 \times 10^{- 3} mm$

$Positive error = MSR + CSR (LC)$

$= 0 mm + 6 (5 \times 10^{- 3} mm)$

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