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Question: The pitch of a screw gauge is 1 mm and there are 50 divisions on its cap. When nothing is put in bet...

The pitch of a screw gauge is 1 mm and there are 50 divisions on its cap. When nothing is put in between the studs, 44th division of the circular scale coincides with the reference line. When a glass plate is placed between the studs, the main scale reads three divisions and the circular scale reads 26 divisions. Calculate the thickness of the plate –

A

(a) 3.52 mm

A

(b) 3.26 mm

A

(c) 3.40 mm

A

(d) 3.64 mm

Explanation

Solution

(d)

Sol. LC = 150\frac { 1 } { 50 } mm = 0.02 mm

error = – 6 × 0.02 = – 0.12

observed reading = 3 mm + 26 × (0.02) mm

= 3.52 mm

true reading = 3.52 – (– 0.12)

= 3.64 mm