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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Experimental Physics

NTA Abhyas 2020 · Physics · Experimental Physics

In a vernier callipers if each centimetre of the main scale is...

In a vernier callipers if each centimetre of the main scale is divided into qq equal parts and pp vernier scale divisions coincide with (p−1)\left(p - 1\right) main scale divisions, then what will be the least count?
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Options

  1. Apq(p−1)\dfrac{p}{q} \left(p - 1\right)
  2. Bqp\dfrac{q}{p}
  3. Cq−1pq\dfrac{q - 1}{pq}
  4. D1pq\dfrac{1}{pq}

Correct answer

D. 1pq\dfrac{1}{pq}

Step-by-step solution

1MSD=1q1MSD = \dfrac{1}{q}

p×VSD=(p−1)×MSDp \times VSD = \left(p - 1\right) \times MSD

⇒1VSD=(p−1)pq⇒ 1VSD = \left(p - 1\right)pq

L.C.=1MSD−1VSDL. C. = 1MSD - 1VSD

⇒1q−(p−1)pq=1pq⇒ \dfrac{1}{q} - \left(p - 1\right)pq = \dfrac{1}{pq}

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