JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
\(10\) divisions on the main scale of a Vernier calliper coincide with \(11\) divisions on the Vernier scale. If each division on the main scale is of \(5\) units, the least count of the instrument is _______.
- A \(\frac{1}{2}\)
- B \(\frac{10}{11}\)
- C \(\frac{50}{11}\)
- D \(\frac{5}{11}\)
Answer & Solution
Correct Answer
(D) \(\frac{5}{11}\)
Step-by-step Solution
Detailed explanation
\(10 \mathrm{MSD}=11 \mathrm{VSD}\) \(1 \mathrm{VSD}=\frac{10}{11} \mathrm{MSD}\) \(\mathrm{LC}=1 \mathrm{MSD}-1 \mathrm{VSD}\) \(=1 \mathrm{MSD}-\frac{10}{11} \mathrm{MSD}\) \(=\frac{1 \mathrm{MSD}}{11}\) \(-\frac{5}{11} \text { units }\)
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