JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
If \(50\) Vernier divisions are equal to \(49\) main scale divisions of a travelling microscope and one smallest reading of main scale is \(0.5 \mathrm{~mm}\), the Vernier constant of travelling microscope is _______.
- A \(0.1 \mathrm{~mm}\)
- B \(0.1 \mathrm{~cm}\)
- C \(0.01 \mathrm{~cm}\)
- D \(0.01 \mathrm{~mm}\)
Answer & Solution
Correct Answer
(D) \(0.01 \mathrm{~mm}\)
Step-by-step Solution
Detailed explanation
\(50 \mathrm{~V}+\mathrm{S}=49 \mathrm{~S}+\mathrm{S}\) \(\mathrm{S}=50(\mathrm{~S}-\mathrm{V})\) \(5=50(\mathrm{~S}-\mathrm{V})\) \(\mathrm{S}-\mathrm{V}=\frac{0.5}{50}=\frac{1}{100}=0.01 \mathrm{~mm}\)
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