What is the correct measurement using Vernier Calipers?

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SUMMARY

The correct measurement using Vernier Calipers is determined by calculating the Main Scale Reading (MSR) and the Least Count. In this discussion, the MSR is established as 35 mm, with the Least Count calculated to be 3/8 mm. The reading is derived from the formula: Reading = MSR + (VS divisions coinciding with MS divisions * Least Count). The calculated reading is 36.5 mm, contradicting the provided answer of 35.5 mm, which is incorrect as the zero of the Vernier scale lies just left of the 36 mm mark.

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  • Ability to calculate Least Count in measuring instruments
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This discussion is beneficial for students in physics, engineering technicians, and anyone involved in precision measurement tasks using Vernier Calipers.

harsh22902
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Homework Statement
The main scale of vernier calipers reads in mm and its vernier scale is divided into 8 divisions which coincide with 5 divisions of the main scale. When the two jaws touch each other, the zero of the vernier coincides with the zero of main scale. When a rod is tightly placed along its length between the jaws, it is observed that the zero of vernier scale lies just left to 36th division of main scale and fourth division of vernier scale coincides with one main scale division. The measured value is (in cm) .
Relevant Equations
Reading = Main Scale Reading + (Vernier Scale Reading)(Least count)
Least Count = 1 MSR - 1VSR
My approach to this problem was pretty simple and straight.
There is no zero error here.
8 divisions of VS(Vernier scale)= 5 divisions on MS (Main Scale)
hence 1 VS division = 5/8 mm .
Now , MSR = 35 mm ( as zero of VS lies to the left of 36)
Least count = 1mm - 5/8 mm = 3/8 mm
Given in the question , VS division coinciding with 1 MS division = 4
Reading = 35 + 4*(3/8) mm = 36.5 mm
BUT the answer provided is 35.5 mm.
 
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zero of vernier scale lies just left to 36th division of main scale
So the answer should not be more than 36 mm !
 
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