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Figure shows the position of vernier scale while measuring the external length of a wooden cylinder. What is the length recorded by the main scale? Which reading of vernier scale coincide

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Question

Figure shows the position of vernier scale while measuring the external length of a wooden cylinder.

  1. What is the length recorded by the main scale?
  2. Which reading of vernier scale coincides with the main scale?
  3. Calculate the length.
Numerical
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Solution

Main scale divisions of vernier callipers in one centimetre = 10

Pitch = `"Unit of main scale"/"Number of divisions in the unit"`

= `1/10` cm = 0.1 cm

Least count = `"Pitch"/"No. of divisions on the vernier scale"`

L.C. = `0.1/10` cm = 0.01 cm

1. Length recorded by main scale = 10.2 cm
⇒ Main scale reading is 10.2 cm

2. Reading of vernier scale coinciding with main scale = 7th
⇒ Vernier scale division (V.S.D.) is 7th

3. Length recorded by vernier callipers
= Main scale reading + L.C. × V.S.D.
= 10.2 + 0.01 × 7
= 10.2 + 0.07
= 10.27 cm

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Chapter 1: Measurements and Experimentation - Unit 3 Practice Problems 2

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Goyal Brothers Prakashan A New Approach to ICSE Physics [English] Class 9
Chapter 1 Measurements and Experimentation
Unit 3 Practice Problems 2 | Q 1

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