A microscope is provided with a main scale graduated with 20 divisions in 1cm 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.
Given: 1 main scale division = 1/20cm
50 divisions of vernier scale = 49 divisions of main scale
1 division of vernier scale = 49 ÷ 50 main scale divisions
= 0.98 main scale division
Vernier calipers:
L.C = 1 main scale division – 1 vernier scale division
= 1 main scale division – 0.98 main scale division
= 0.02 main scale division
Microscope:
1 main scale division = 1/20cm
L.C = 0.02 x 1/20 = 0.001cm
∴ Least count of the microscope is 0.001cm
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