A screw gauge has a pitch of 1 mm and 200 divisions on the circular scale. Do you Think it is possible to increase the accuracy of the screw gauge arbitrarily by increasing the number of divisions on the circular scale?

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Yes accuracy will increase on increasing the number of divisions on the circular scale since Least count of the screw gauge is given by As you increase the denominator L. C value decrease which means measurement becomes more accurate
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Yes accuracy will increase on increasing the number of divisions on the circular scale since Least count of the screw gauge is given by As you increase the denominator L. C value decrease which means measurement becomes more accurate read less
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