In a scenario where a thin metallic strip on a vernier caliper descends from the upper edge to the lower edge and makes constant contact with the surface of a beaker, the main scale displays a reading of 6.40. The vernier scale division aligns precisely with a main scale division. Assuming there is no zero error, what is the measurement of the beaker?
Answer (2)
The measurement of the beaker using the Vernier caliper is 6.45 cm, determined by adding the main scale reading of 6.40 cm to the Vernier scale reading of 0.05 cm. This reading assumes that the 5th division of the Vernier scale aligns with a main scale division. The calculation is performed using a least count of 0.01 cm.
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Assume a standard Vernier calliper with a least count of 0.01.
Assume the 5th division of the Vernier scale aligns with a main scale division.
Calculate the Vernier scale reading: $5
\times 0.01 = 0.05$.
Add the main scale reading and the Vernier scale reading: 6.40 + 0.05 = 6.45 . The reading of the Vernier calliper on the beaker is 6.45 .
Explanation
Problem Analysis The problem describes a measurement using a Vernier calliper. We are given the main scale reading and told that a certain Vernier scale division aligns with a main scale division. We need to determine the overall reading of the Vernier calliper.
Assumptions Since the problem does not provide the least count of the Vernier calliper, we will assume a standard Vernier calliper with a least count of 0.01. Also, the problem states 'vernier safe division aligns precisely with a main soft Vernier Scape division aligns precisely'. This seems to be an incomplete sentence. We will assume that the 5th division of the Vernier scale aligns with a main scale division.
Vernier Scale Reading Calculation The Vernier scale reading is calculated by multiplying the least count by the Vernier scale division number that aligns with a main scale division. In this case, it is 5 * 0.01 = 0.05.
Final Reading Calculation The final reading is the sum of the main scale reading and the Vernier scale reading. Therefore, the final reading is 6.40 + 0.05 = 6.45.
Final Answer Therefore, the reading of the Vernier calliper on the beaker is 6.45.
Examples
Vernier callipers are commonly used in workshops and labs to measure the dimensions of objects with high precision. For example, a machinist might use a Vernier calliper to measure the diameter of a bolt or the thickness of a metal plate to ensure it meets the required specifications. Similarly, a scientist might use it to measure the internal diameter of a test tube or the external diameter of a small crystal. The precision offered by Vernier callipers makes them indispensable in various fields where accurate measurements are crucial.
