Verified Solution • 2025–26 Session moderate

QJEEM21Ph6bb5: JEE Main 2021 Physics - Class 11 JEEM21Ph6bb5 Solution: One main scale division of a vernier callipers is 'a' cm and n…

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 :

Multiple Choice Options

  • A 10an{{10a} \over n}
  • B 10na(n−1){{10na} \over {(n - 1)}}
  • C (n−110n)a\left( {{{n - 1} \over {10n}}} \right)a
  • D 10a(n−1){{10a} \over {(n - 1)}}

Step-by-Step Verified Solution

n VSD = (n −- 1) MSD

1 VSD = (n−1n)\left( {{{n - 1} \over n}} \right) MSD

L.C. = 1 MSD −- 1 VSD

= 1 MSD −- (n−1n)\left( {{{n - 1} \over n}} \right) MSD

= 1 MSD −- 1 MSD + MSDn{{MSD} \over n}

= MSDn{{MSD} \over n}

= an{a \over n} cm

= 10an{{10a} \over n} mm

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