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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 there are 50 divisions on its cap. When nothing is put in between the studs, 44th division of the circular scale coincides with the refersence line zero of the main scale is not visible. When a glass plate is placed between the studs, the main scale reads three divisions and the circular scale reads 26 divisions. The thickness of the plate is `(360+a)xx10^(-2)` mm. Find 'a'.

Text Solution

Verified by Experts

The correct Answer is:
4

Least count `=1/5=0.02 mm`
Zero error`=(44-50)xx0.02=-0.12`
Thickness of the plate = Main scale reading + (circular scale reading) `xx` L.C. - zero error
`=MSR+(CSR)xxL.C.-` zero error
`=3+26xx0.2-(-0.12)`
`=3.64 mm`
`=(360+4)xx10^(-2) mm`
`:. a=4`
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