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One centimetre on the main scale of vernier callipers is divided into ten equal parts. If 10 divisions of vernier scale coincide with 8 small divisions of the main scale,

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Question

One centimetre on the main scale of vernier callipers is divided into ten equal parts. If 10 divisions of vernier scale coincide with 8 small divisions of the main scale, the least count of the callipers is ______.

Options

  • 0.005 cm

  • 0.05 cm

  • 0.02 cm

  • 0.01 cm

MCQ
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Solution

One centimetre on the main scale of vernier callipers is divided into ten equal parts. If 10 divisions of vernier scale coincide with 8 small divisions of the main scale, the least count of the callipers is 0.02 cm.

Explanation:

1 main scale div = 0.1 cm

10V = 8S

V = `8/10` S.

S - V = S - `8/10`S

= `2/10`S

= `1/5`S

But 1S = 0.1 cm

= `0.1/5`

= 0.02 cm

Least count = 0.02 cm

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