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A brilliant student of Class XII constru...

A brilliant student of Class `XII` constructed a vernier calipers as shown. He used two identical inclines of inclination `37^(@)` and tried to measure the length of line `AB`. The length of line `AB` is
.

A

`(21)/(4)`mm

B

`(25)/(4)` mm

C

`(18)/(4)` mm

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Least count `=(l)/(cos theta)-l=1((1)/(4//5)-1)=((5)/(4)-1)=(1)/(4)`mm
Length `AB=(4)((l)/(cos theta))+(5)((l)/(cos theta)-l)=4((5)/(4))+5((1)/(4))=5+(5)/(4)=(25)/(4)`mm.
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ALLEN -ERROR AND MEASUREMENT-Part-2(Exercise-2)(B)
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