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A vernier callipers has 1 mm marks on the main scale. It has 20 equal divisions on the vernier scale which match with 16 main scale divisions. For this vernier calipers, the least count is
  • a)
    0.02 mm
  • b)
    0.05 mm
  • c)
    0.1 mm
  • d)
    0.2 mm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A vernier callipers has 1 mm marks on the main scale. It has 20 equal...
Introduction:
A vernier caliper is a measuring instrument used to measure the dimensions of an object with high accuracy. It consists of a main scale and a vernier scale, which work together to provide precise measurements. The least count of a vernier caliper determines the smallest measurement that can be read from the instrument.

Given data:
- Main scale has 1 mm marks
- Vernier scale has 20 equal divisions
- Vernier scale matches with 16 main scale divisions

Formula for Least Count:
The formula to calculate the least count of a vernier caliper is:
Least Count = (1/Main scale division) - (1/Vernier scale division)

Calculation:
In this case, the main scale has 1 mm marks, so the main scale division is 1 mm.

The vernier scale has 20 equal divisions matching with 16 main scale divisions. Therefore, the Vernier scale division can be calculated as follows:
Vernier scale division = (16 * Main scale division) / 20
= (16 * 1 mm) / 20
= 0.8 mm

Now we can substitute the values into the formula to calculate the least count:
Least Count = (1/Main scale division) - (1/Vernier scale division)
= (1/1 mm) - (1/0.8 mm)
= 1 - 1.25
= -0.25 mm

The least count is negative, which means that the vernier caliper is not capable of measuring accurately up to 0.25 mm. The absolute value of the least count is taken, which is 0.25 mm.

Therefore, the correct answer is option 'D' - 0.2 mm. The least count of the given vernier caliper is 0.2 mm.
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Community Answer
A vernier callipers has 1 mm marks on the main scale. It has 20 equal...
Least count of vernier callipers
LC = 1MSD − 1VSD
= Smallest division on main scale / Number of divisions on vernier scale
20 divisions of vernier scale = 16 divisions of main scale
∴ 1VSD = 16 / 20mm = 0.8mm
LC = 1MSD − 1VSD
= 1mm − 0.8mm = 0.2mm
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A vernier callipers has 1 mm marks on the main scale. It has 20 equal divisions on the vernier scale which match with 16 main scale divisions. For this vernier calipers, the least count isa)0.02 mmb)0.05 mmc)0.1 mmd)0.2 mmCorrect answer is option 'D'. Can you explain this answer?
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A vernier callipers has 1 mm marks on the main scale. It has 20 equal divisions on the vernier scale which match with 16 main scale divisions. For this vernier calipers, the least count isa)0.02 mmb)0.05 mmc)0.1 mmd)0.2 mmCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A vernier callipers has 1 mm marks on the main scale. It has 20 equal divisions on the vernier scale which match with 16 main scale divisions. For this vernier calipers, the least count isa)0.02 mmb)0.05 mmc)0.1 mmd)0.2 mmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vernier callipers has 1 mm marks on the main scale. It has 20 equal divisions on the vernier scale which match with 16 main scale divisions. For this vernier calipers, the least count isa)0.02 mmb)0.05 mmc)0.1 mmd)0.2 mmCorrect answer is option 'D'. Can you explain this answer?.
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