हिंदी

One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n - 1)th division of the main scale. The least count of the callipers in mm is ______. -

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प्रश्न

One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n - 1)th division of the main scale. The least count of the callipers in mm is ______.

विकल्प

  • `(("n"-1)/(10"n"))`a

  • `(10"a")/"n"`

  • `(10"na")/((n-1)`

  • `(10"a")/(("n"-1))`

MCQ
रिक्त स्थान भरें

उत्तर

One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincides with (n - 1)th division of the main scale. The least count of the callipers in mm is `bb((10"a")/"n")`.

Explanation:

Given,

1 MSD = a cm

n VSD = (n - 1)MSD

1 VSD = `(("n" - 1))/"n"`MSD

Since, 

LC = 1 MSD - 1 VSD

= 1 MSD - `(("n" - 1))/"n"` MSD ⇒ `"MSD"/"n"`

LC = `"a"/"n"`cm

= `(10"a")/"n"`mm.

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