Ncert Exercises & Solutions

28. The vernier scale of a traveling microscope has 50 divisions which coincide with 49 main scale divisions. If each main scale division is 0.5 mm, calculate the minimum inaccuracy in the measurement of distance.

Hint: Find the least count of the microscope.

Step 1: Find the value of 1 VSD.

By question, it is given that;

$50 VSD = 49 MSD$
$1 VSD = \frac{49}{50} MSD$

Step 2: Find the minimum accuracy.

Minimum inaccuracy = 1 MSD — 1 VSD

$= 1 MSD - \frac{49}{50} MSD = \frac{1}{50} MSD$

Given, 1 MSD = 0.5 mm
Hence, minimum inaccuracy $= \frac{1}{50} \times 0 .5 mm = \frac{1}{100} = 0 .01 mm$ .

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