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The least counts of a vernier calipers ...

The least counts of a vernier calipers and a screw gauge are in the ratio of `5: 1` . The main scales of both the instruments are marked in mm. The zero error on the vernier calipers is `+0.15 `mm where as that on screw gauge is `-0.06` mm. If the diameter of a rod lies between 0.9 cm and 1.0 cm and x and y are the VCD and CSR on the two instruments relation between x and y given that the number of C.S.D = 100 is

A

`x-5y =9`

B

`5x -y =9`

C

`x-5y=21`

D

`5x-y =21`

Text Solution

Verified by Experts

The correct Answer is:
A
Least count of screw gauge `=(1)/(100) =0.01 mm`
Least count of vernier calipers `=5xx 0.01 =0.05 mm`
Let d be the diameter of the rod
`9 mm lt d lt 10 mm`
`d=9+ y xx 0.01 +0.06 ` by screw gauge
` 5x -15 =y+6`
`5x -y =21`
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