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  4. The main scale of a vernier calipers reads in millimeter and its vernier is divided into 10 divisions which coincides with 9 divisions of the main scale. The reading for shown situation is found to be (12 x/10) mm. Find the value of x.

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Q. The main scale of a vernier calipers reads in millimeter and its vernier is divided into $10$ divisions which coincides with $9$ divisions of the main scale. The reading for shown situation is found to be $\frac{12 x}{10} mm$. Find the value of $x$.Physics Question Image

Physical World, Units and Measurements

Solution:

Least count $\frac{1\, mm }{10}=0.1\, mm$
Zero error $=-(10-6) \times 0.1=-0.4 \, mm$
Reading $=6+5 \times(0.1)-(-0.4)=7.2\, mm$
$\Rightarrow x=6$