If the 6th division of the vernier scale coincides with a main scale division, the vernier reading is: [Take least count = 0.1 mm]
0.6 mm
To determine the vernier reading when the 6th division of the vernier scale coincides with a main scale division, we start by understanding the Vernier Caliper's principle. The Vernier Caliper includes two scales: the main scale and the vernier scale. The measurement combines readings from both scales.
The least count of a Vernier Caliper is given by:
\(\text{Least Count (LC)} = \text{Value of one main scale division} - \text{Value of one vernier scale division}\)
In this problem, the least count is provided as 0.1 mm.
The formula for vernier reading is:
\(\text{Vernier Reading} = n \times \text{Least Count}\)
Where \( n \) is the vernier scale division that coincides with the main scale division.
Here, the 6th division coincides; thus, substituting \( n = 6 \) into the formula gives:
\(\text{Vernier Reading} = 6 \times 0.1 \, \text{mm} = 0.6 \, \text{mm}\)
Therefore, the correct option is 0.6 mm.
Conclusion: When the 6th division of the vernier scale coincides with a main scale division, the vernier reading is 0.6 mm.
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