Assertion :The least count of vernier callipers is dependent on its design Reason: The L.C of V.C $= \frac{P i t c h}{N o . o f V . S . D}$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
The least count , $L . C = 1 M S D - 1 V S D =$ ( pitch/ number of VSD) where $M S D =$ main scale division and $V S D =$ vernier scale division.
Thus, the least count depends on how many division of vernier scale coincides with how many division of main scale. Thus, the design of vernier calipers is important for least count.

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