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Q: If d = Value of the smallest division of main scale, n= no of small divisions on vernier scale, then least count of theodolite is calculated by the formula____________.
  • A. d × n
  • B. d-n
  • C. d + n
  • D. d/n
Correct Answer: Option D - Least count of the vernier–This is the difference between the value of the smallest division of the main scale and that of the smallest division of the vernier scale. It is the smallest value that can be measured by a theodolite. L.C. = d/n where, d = value of the smallest division of main scale n = no. of small divisions on vernier scale
D. Least count of the vernier–This is the difference between the value of the smallest division of the main scale and that of the smallest division of the vernier scale. It is the smallest value that can be measured by a theodolite. L.C. = d/n where, d = value of the smallest division of main scale n = no. of small divisions on vernier scale

Explanations:

Least count of the vernier–This is the difference between the value of the smallest division of the main scale and that of the smallest division of the vernier scale. It is the smallest value that can be measured by a theodolite. L.C. = d/n where, d = value of the smallest division of main scale n = no. of small divisions on vernier scale