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The pitch of a screw gauge is 1 mm and t...

The pitch of a screw gauge is `1 mm` and three are `100` divisions on its circular scale. When nothing is put in between its jaws, the zero of the circular scale lies `6` divisions below the reference line. When a wire a placed between the jaws, `2` linear scale divisions are clearly visible while ` 62` divisions on circular scale coincide with the reference line. Determine the diameter of the wire.

Text Solution

Verified by Experts

`LC=p/N=(1 mm)/100=0.01 mm`
The instrument has a positive zero error,
`e= +n(LC)= + (6xx0.01)`
`=+ 0.06 mm`
Linear scale reading `=2xx(1 mm)=2 mm`
Circular scale reading `=62xx(0.01 mm)=0.62 mm`
`:.` Measured reading `=2+0.62=2.62 mm`
or True reading `=2.62-0.06=2.56 mm`
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