Physical World Units and Measurements - Result Question 48

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49. In a vernier calliper $N$ divisions of vernier scale coincides with $(N-1)$ divisions of main scale (in which length of one division is $1 mm$ ). The least count of the instrument should be [1994]

======= ####49. In a vernier calliper $N$ divisions of vernier scale coincides with $(N-1)$ divisions of main scale (in which length of one division is $1 mm$ ). The least count of the instrument should be [1994]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/physical-world-units-and-measurements/physical-world-units-and-measurements—result-question-48.md (a) $N$

(b) $N-1$

(c) $1 / 10 N$

(d) $1 / N-1$

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Answer:

Correct Answer: 49. (c)

Solution:

  1. (c) Least count = 1MSD - 1 VSD

$=1 MSD-(\frac{N-1}{N}) MSD$ $=\frac{1}{N} MSD=\frac{1}{N} \times \frac{1}{10} cm=\frac{1}{10 N}$

Smaller value of the least count, higher is the accuracy of measurement. Accuracy of measurement is higher when number of significant figure after the decimal in measurement is larger.