A traveling microscope has 20 divisions per cm on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling microscope?

<p>MSD = 20 divisions per cm 1 MSD =&nbsp;<math><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn><mn>0</mn></mrow></mfrac><mi>c</mi><mi>m</mi><mo>.</mo></mrow></math></p><p>VSD = 50 divisions</p><p>As, 25 VSD = 24 MSD</p><p><math><mrow><mo>∴</mo><mn>1</mn><mi>V</mi><mi>S</mi><mi>D</mi><mo>=</mo><mfrac><mrow><mn>2</mn><mn>4</mn></mrow><mrow><mn>2</mn><mn>5</mn></mrow></mfrac><mi>M</mi><mi>S</mi><mi>D</mi></mrow></math></p><p>L.C. = 1 MSD – 1 VSD</p><p>=&nbsp;<math><mrow><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>5</mn><mn>0</mn><mn>0</mn></mrow></mfrac><mi>c</mi><mi>m</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>0</mn><mn>0</mn><mn>2</mn><mi>c</mi><mi>m</mi></mrow></math></p>

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