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19 divisions on the main scale of a vern...

`19` divisions on the main scale of a vernier callipers coincide with `20` divisions on the vernier scale. If each division on the main scale is of `1 cm`, determine the least count of instrument.

Text Solution

Verified by Experts

The correct Answer is:
C
`20 VSD = 19 MSD`
`:. 1 VSD = (19)/(20) MSD`
`LC = 1 MSD - 1 VSD`
= `MSD - (19)/(20) MSD = 1/(20) MSD`
= `(1 cm)/(20) = 0.05 cm`.
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Knowledge Check

  • in an experiment the angles are required to be using an instrument, 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the sallest division of the main scale is half- a degree (= 0.5^(@) , then the least count of the instrument is :

    A
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    ( c ) half degree
    D
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  • In a experiment the angle are required to be measured using an instrument. 26 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale . If the smallest division of the main scale is half -a-degree (=0.5^(@)) then the least count of the instrument is .

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