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Q.

The vernier scale of a vernier calipers has 20 divisions and total length of the vernier scale is equal to 18 divisions of the main scale.  If one division of the main scale is 1 mm, the least count of the instrument is     

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a

0.10 mm 

b

0.05 mm  

c

0.40 mm 

d

0.20 mm

answer is B.

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Detailed Solution

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20 VSD = 18 MSD = 18 mm

1VSD=910mm

LC = 1MSD – 1VSD

=1−910mm=0.1m

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The vernier scale of a vernier calipers has 20 divisions and total length of the vernier scale is equal to 18 divisions of the main scale.  If one division of the main scale is 1 mm, the least count of the instrument is