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  4. The picture shown below a picture of vernier screw gauge. Main scale or pitch is 0.5 mm . There are 50 divisions on circular scale. 9 circular scale divisions correspond to 10 vernier scale divisions. What is the reading R (in μm ) ? <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-jf0sl6ykuwi65y2u.jpg />

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Q. The picture shown below a picture of vernier screw gauge. Main scale or pitch is $0.5\,mm$ . There are $50$ divisions on circular scale. $9$ circular scale divisions correspond to $10$ vernier scale divisions. What is the reading $R$ (in $μm$ ) ?
Question

NTA AbhyasNTA Abhyas 2022

Solution:

$10VSd=9CSd$
$2VSd=0.9CSd\times 2$
Reading
$=5.5\,mm+\frac{\left(\right. 30 - 2 \times 0 . 9 \left.\right) CSd}{50 CSd}\times 0.5\,mm$
$=5.5+0.282\,mm$
$=5.782\,mm$