10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division o…
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PYQ10 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 :
[JEE Main 2024, 1 Feb (Shift 1)]
✓ Correct answer: b)
\(\frac{5}{11}\)
Explanation
$$\begin{aligned}& \text { Given: } 10 \mathrm{MSD}=11 \mathrm{VSD} \\& \Rightarrow 1 \mathrm{VSD}=\frac{10}{11} \mathrm{MSD} \\& \text { As, } \mathrm{LC}=1 \mathrm{MSD}-1 \mathrm{VSD} \\& =1 \mathrm{MSD}-\frac{10}{11} \mathrm{MSD}=\frac{1 \mathrm{MSD}}{11} \\& =\frac{5}{11} \text { units }\end{aligned}$$
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