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Physics · PYQ NEET UG 2024

हिन्दी

In a vernier calipers, \( (N + 1) \) divisions of vernier scale coincide with \( N \) divisions of main scale. If 1 MSD represents \( 0.1 \text{ mm} \), the vernier constant (in cm) is :

  1. A
    \( 100 N \)
  2. B
    \( 10 (N+1) \)
  3. C
    \( \frac{1}{10 N} \)
  4. D
    \( \frac{1}{100(N+1)} \)
View Answer & Solution

Correct answer · Option D

\( \frac{1}{100(N+1)} \)

Explanation

\( 1 \text{ VSD} = \frac{N}{N+1} \text{ MSD} \). Vernier constant \( VC = 1 \text{ MSD} - 1 \text{ VSD} = \frac{1 \text{ MSD}}{N+1} \). Since \( 1 \text{ MSD} = 0.1 \text{ mm} = 0.01 \text{ cm} = \frac{1}{100} \text{ cm} \), \( VC = \frac{1}{100(N+1)} \text{ cm} \).
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