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A vernier callipers has 20 divisions on ...

A vernier callipers has 20 divisions on the vernier scale which coincide with 19 divisions on the main scale. The least count of the instrument is 0.1 mm. The main scale divisions are of

A

0.2mm

B

0.5mm

C

1.0mm

D

2.0mm

Text Solution

Verified by Experts

N VSD=(N-1)MSD
`20 VSD=19MSD therefore MSK=(20)/(19)VSD`
`L.C.=1 MSD+1VSD=1MSK=(19)/(20)MSK`
`L.C.=(1-(19)/(20))MSD`
`L.C.=(1)/(20)xxMSD`
`0.1mm=(1)/(20)xxMSD`
`therefore MSD=0.1mmxx20`
`MSD=2mm`
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