Q.

Given below are two statements :
Statement I : In a vernier callipers, one vernier scale division is always smaller than one main scale division.
Statement II : The vernier constant is given by one main scale division multiplied by the number of vernier scale division.
In the light of the above statements, choose the correct answer from the options given below.

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a

Both Statement I and Statement II are false.

b

Both Statement I and Statement II are true.

c

Statement I is true but Statement II is false.

d

Statement I is false but Statement II is true.

answer is A.

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Detailed Solution

Statement I: In standard direct verniers, one vernier scale division (VSD) is always smaller than one main scale division (MSD), which is why Statement I is generally true. However, there are certain specialized cases where it is false. These cases involve "retrograde verniers" or specific types of vernier scales that are designed differently.

Statement II: This is incorrect. The vernier constant (VC) is actually the least count of the instrument, which is given by the formula:

Vernier Constant (VC)=Value of one main scale divisionValue of one vernier scale division.

The given statement that the vernier constant is the product of one main scale division and the number of vernier scale divisions is incorrect.

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