Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A vernier calipers has 10 vernier divisions equal to 9 main scale divisions, and one main scale division is mm. With the jaws closed, the 2nd vernier division lines up with a main scale mark. A solid cylinder gives these readings. For the diameter, the main scale reading is cm and the 7th vernier division lines up. For the length, the main scale reading is cm and the 4th vernier division lines up. Find the corrected diameter and length, the volume of the cylinder and the percentage error in the volume. The error in each length is one least count.
Vernier calipers: and reading . Screw gauge: and reading . Always: corrected reading observed reading zero error. A positive zero error is and a negative one is .
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.
Given. .
Plan. Find the zero error, correct both readings, then the volume and its error.
Step 1. The zero error. The 2nd division lines up, so the error is cm.
Step 2. The diameter. Observed: cm. Corrected: cm.
Step 3. The length. Observed: cm. Corrected: cm.
Step 4. The volume. .
Step 5. The error. . That is .
Answer: cm, cm, and .
Check. The volume is about . It fits.
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