Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A screw gauge has a pitch of mm and 100 divisions on its circular scale. With the studs touching, the circular scale reads . A metal sheet gives a pitch scale reading of mm and a circular scale reading of . A stack of 20 sheets of paper gives a pitch scale reading of mm and a circular scale reading of . Find the least count, the zero error, the thickness of the metal sheet, and the thickness of one sheet of paper.
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. The least count. mm.
Step 2. The zero error. The closed reading is close to 100, so the error is negative: mm.
Step 3. The metal sheet. Observed: mm. Corrected: mm.
Step 4. The stack. Observed: mm. Corrected: mm.
Step 5. One sheet of paper. mm.
Answer: mm, mm, mm and mm.
Watch out. One sheet of paper is thinner than the least count. A reading of a single sheet could not be trusted. The stack of 20 shares the error of mm among 20 sheets.
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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 .