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Consider a home made vernier scale as sh...

Consider a home made vernier scale as shown in the figure. In this diagram, we are interested in measuring the length of the line PQ. If both the inclined are indentical and their angles are equal to `theta` then what is the least count of the instrument.

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The correct Answer is:
`LC=l[(1-cos theta)/(cos theta)]`
Least count = 1 MSD - 1 VSD
`=(l)/(cos theta)-l`
`=((1-cos theta)/(cos theta))l`
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ALLEN-ERROR AND MEASUREMENT-Part-2(Exercise-1)
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  3. In a vernier callipers, N divisions of the main scale coincide with N ...

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  4. In a vernier callipers the main scale and the vernier scale are made u...

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  9. The relative error in resistivity of a material where resistance = 1...

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  10. In the searle's experiment, after every step of loading, why should we...

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  12. Internal micrometer is a measuring intrument used to measure internal ...

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  13. Internal micrometer is a measuring intrument used to measure internal ...

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  14. In a given slide callipers 10 division of its vernier coincides with i...

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  15. Consider a home made vernier scale as shown in the figure. In this dia...

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  16. The pitch of a screw gauge is 1 mm and there are 50 divisions on its c...

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  17. A short circuit occurs in a telephone cable having a resistance of 0.4...

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  18. A glass prism of angle A = 60^(@) gives minimum angle of deviation the...

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  20. Consider S = X cos (theta) for X = (2.0 pm 0.2) cm, theta = 53 pm 2^(@...

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