Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A vernier callipers has a least count of ( vernier divisions). With the jaws closed, the vernier zero is to the left of the main zero, and the th vernier line coincides. A cylinder is then measured: the main scale reads and the th vernier line coincides. What is the cylinder's diameter?
If vernier divisions fill main scale divisions, the least count is one main division divided by .
Correct reading observed reading zero error. With the jaws closed, a vernier zero to the right of the main zero is a positive zero error; to the left, a negative one.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Zero error. The vernier zero is behind the main zero by : zero error .
Step 2. Observed. .
Step 3. Correct. .
Answer: .
Check. A negative zero error means the callipers read too little, so the true size is larger than . Yes.
Watch out. For a negative zero error, the coinciding line counts from the end of the vernier: , not .
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