Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

The vernier scale of a travelling microscope has 50 divisions which coincide with 49 main scale divisions. If each main scale division is 0.5 mm, calculate

the minimum inaccuracy in the measurement of distance.



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
The least count = 1/50.

so precision in measurements  =  1/50 * 0.5 mm = 0.01 mm

2 5 2
49 main scale divisions = 49 * 0.5 mm = 24.5 mm.
50 Vernier scale divisions = 24.5 mm => each vernier scale division = 24.5/50 = 0.49 mm
the difference between the lengths of one main scale division and one vernier scale division = 0.50 - 0.49 mm = 0.01 mm.
This is the least count of the Vernier scale. When you measure the length of an object, the length is measurable up to an accuracy of 0.01 mm.
sir but y we divide 24.5/50 ?
Suppose we have an object of length 2.11 mm. We put that in the Vernier calipers. Then we read the vernier scale. That will match with the main scale at the 11th division... On the main scale it will read 15 divisions. It means 7.50 mm.. On the vernier scale 11 divisions means 11 * 0.49mm = 5.39 mm... Subtracting 5.39 mm from 7.50 mm , we get the length of the object as 2.11 mm.
the formula is : precision or least count = 1 main scale division / number of divisions on the Vernier scale.
tq sir understood :)
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts