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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Experimental Physics

NEET 2024 · Physics · Experimental Physics

In a vernier callipers, (N+1) divisions of vernier scale coincide...

In a vernier callipers, (N+1)(N+1) divisions of vernier scale coincide with NN divisions of main scale. If 1 MSD represents 0.1 mm , the vernier constant (in cm ) is:

Options

  1. A1100(N+1)\frac{1}{100(N+1)}
  2. B100 N
  3. C10(N+1)10(N+1)
  4. D110N\frac{1}{10 N}

Correct answer

A. 1100(N+1)\frac{1}{100(N+1)}

Step-by-step solution

V.C=MSD−VSDV . C=M S D-V S D....(1) given : (N+1)VSD=N(N+1) V S D=N MSD VSD⁡=(NN+1)MSD\operatorname{VSD}=\left(\frac{N}{N+1}\right) \mathrm{MSD}....(2) From (1) and (2) V⋅C=(MSD)−NN+1(MSD)=MSD⁡(1−NN+1)=MSDN+1=0.01N+1=1100(N+1)\begin{aligned} & V \cdot C=(\mathrm{MSD})-\frac{N}{N+1}(\mathrm{MSD}) \\ & =\operatorname{MSD}\left(1-\frac{N}{N+1}\right)=\frac{\mathrm{MSD}}{N+1} \\ & =\frac{0.01}{N+1}=\frac{1}{100(N+1)} \end{aligned}
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