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The vernier scale of a travelling micros...

The vernier scale of a travelling microscope has 50 divisions which coincide with 49 main scale divisions. If each main scale division is 0.5 mm, calculate the minimum inaccuracy in the measurement of distance.

Text Solution

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50 VSD=49 MSD
`:.IMSD =(50)/(49)=VSD`
and `IVSD=(49)/(50)MSD`
Minimum inaccuracy = IMSD -IVSD
`=IMSD-(49)/(50)MSD=(1)/(50)MSD`
Now 1IMSD=0.5 mm (given)
`:.` Minimum inccuracy.
`=(1)/(50)xx0.5 mm=(1)/(100)=0.01 mm`
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