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  4. A travelling microscope has a main scale graduated in (1/2) mm. 50 vernier divisions coincide with 49 main scale divisions. What will be the reading if the main scale reads 7.45 cm and the 29th division of the vernier coincides with the main scale division ?

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Q. A travelling microscope has a main scale graduated in $\frac{1}{2}\,mm$. $50$ vernier divisions coincide with $49$ main scale divisions. What will be the reading if the main scale reads $7.45\, cm$ and the $29^{th}$ division of the vernier coincides with the main scale division ?

Physical World, Units and Measurements

Solution:

Least count $= 1\,MSD - 1\,VSD$
$=0.5\,mm-0.5\,mm-\left(\frac{49}{50}\right)\left(0.5\,mm\right)$
$=0.001\,cm$
Reading $= 7.45 + 29 \times 0.001 = 7.479 \,cm$