a microscope is provided with a main scale graduated with 20 divisions in 1 cm and a vernier scale with 50 divisions on it of length same as of 49 divisions of main scale Find the least count of the microscope
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50 divisions of Vernier scale = 49 divisions of main scale
or, 1 division of Vernier scale = 49/50 divisions of main scale
or, 1 division of Vernier scale = 0.98 division of main scale
so, least count of vernier scale = 1 main scale division - 1 vernier scale division
= 1 main scale division - 0.98 main scale division
= 0.02 main scale division.
given, 1 main scale division = 1/20 cm
so, least count of microscope = 0.02 × 1/20 = 0.01/10 = 0.001cm
hence, least count of microscope is 0.001cm.
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