Verified Solution • 2025–26 Session moderate

QJEEM22Ph4e96: JEE Main 2022 Physics - Class 11 JEEM22Ph4e96 Solution: A travelling microscope has 20 divisions per on the main scale…

A travelling microscope has 20 divisions per cm\mathrm{cm} on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling microscope?

Multiple Choice Options

  • A 0.001 cm
  • B 0.002 mm
  • C 0.002 cm
  • D 0.005 cm

Step-by-Step Verified Solution

1 MSD = 120{1 \over {20}} cm

1 VSD = 2425×120{{24} \over {25}} \times {1 \over {20}} cm

∴\therefore Least count = 1 MSD −- 1 VSD

=120(1−2425)= {1 \over {20}}\left( {1 - {{24} \over {25}}} \right) cm

=120×125= {1 \over {20}} \times {1 \over {25}} cm

=0.002= 0.002 cm

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