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Units and Measurement question

2024 · Q151
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Units and Measurement question

2024 · Q151

NEETPhysicsUnits and MeasurementMCQ+4 / −1

In a vernier callipers, (N+1)(N+1)(N+1) divisions of vernier scale coincide with NNN divisions of main scale. If 1 MSD1 \mathrm{~MSD}1 MSD represents 0.1 mm0.1 \mathrm{~mm}0.1 mm, the vernier constant (in cm\mathrm{cm}cm) is:

  1. A
    110 N\frac{1}{10 \mathrm{~N}}10 N1​
  2. B
    1100(N+1)\frac{1}{100(N+1)}100(N+1)1​
  3. C
    00 N00 \mathrm{~N}00 N
  4. D
    10(N+1)10(N+1)10(N+1)
View written solutionFree

Correct answer: B

V.C = MSD $-$ VSD ..... (1)

given : $(N+1) \mathrm{VSD}=N$ MSD

$$\mathrm{VSD}=\left(\frac{N}{N+1}\right) \mathrm{MSD}$$ ..... (2)

From (1) and (2)

$$\begin{aligned} & V . C=(M S D)-\frac{N}{N+1}(M S D) \\ & =M S D\left(1-\frac{N}{N+1}\right)=\frac{M S D}{N+1} \\ & =\frac{0.01}{N+1}=\frac{1}{100(N+1)} \end{aligned}$$

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