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The vernier scale of a travelling micros...

The vernier scale of a travelling microscope has `50` divisions which coincide with `49` main scale divisions. If each main scale division is `0.5 mm`, the minimum inaccuracy in the measurement of distance is

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To solve the problem step by step, we need to find the minimum inaccuracy in the measurement of distance using the given information about the vernier scale of a travelling microscope. ### Step 1: Understand the problem We know that the vernier scale has 50 divisions that coincide with 49 main scale divisions. Each main scale division (MSD) is given as 0.5 mm. Our goal is to find the least count of the vernier scale, which represents the minimum inaccuracy in the measurement. ### Step 2: Calculate the value of one Vernier scale division (VSD) Since 50 vernier scale divisions coincide with 49 main scale divisions, we can express this relationship mathematically: ...
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Knowledge Check

  • The vernier scale of a travelling microscope has 50 divisions which coincide with 49 main scale divisions. If each main scale division is 0.5 mm, then the least count of the microscope is

    A
    0.01 cm
    B
    0.5 mm
    C
    0.01 mm
    D
    0.5 cm

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