Question

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 divisions. In light of the above statements, choose the correct answer from the options given below.

• A. Both Statement I and Statement II are false.
• B. Statement I is true but Statement II is false.
• C. Both Statement I and Statement II are true.
• D. Statement I is false but Statement II is true.

Hint:

For vernier calipers, the vernier constant is the difference between one main scale division and one vernier scale division.

Answer 1

The Correct Option is B

To address the given problem, each statement will be examined individually:

Statement I: In a vernier caliper, a single vernier scale division is consistently smaller than a single main scale division.

The vernier caliper, a precision measuring tool for lengths, comprises a main scale and a movable vernier scale. A core design characteristic of vernier calipers is that each vernier scale division is typically marginally smaller than a main scale division. This principle allows for accurate measurement of finer increments by leveraging the disparity between the two scales. Consequently, Statement I is accurate.

Statement II: The vernier constant is calculated by multiplying one main scale division by the total number of vernier scale divisions.

The vernier constant, also known as the least count, is defined as the difference between one main scale division and one vernier scale division. Its mathematical expression is:

Vernier Constant = Length of one main scale division - Length of one vernier scale division.

The assertion that it is found by multiplying a main scale division by the count of vernier scale divisions is incorrect. The vernier constant is derived from the minimal difference between these divisions, not from multiplication. Therefore, Statement II is inaccurate.

Following this analysis, the correct conclusion is: Statement I is accurate, while Statement II is inaccurate.