The image shows a
vernier caliper with a main scale and a vernier scale. The task is to determine the measurement indicated by the caliper.
Let's analyze it step by step:
---
🔍 Step 1: Understand the Components
- The
main scale is marked in centimeters (cm), with each large division representing 1 cm.
- Each centimeter is divided into 10 smaller divisions, so each small division on the main scale is
0.1 cm (or 1 mm).
- The
vernier scale has 10 divisions that correspond to 9 divisions on the main scale. This means the least count (LC) of the vernier caliper is:
$$
\text{Least Count} = \frac{1\ \text{mm}}{10} = 0.1\ \text{mm} = 0.01\ \text{cm}
$$
---
🔍 Step 2: Read the Main Scale
Look at the
main scale reading — this is the value just before the zero of the vernier scale.
- The zero of the vernier scale lies between
2.3 cm and
2.4 cm.
- So, the
main scale reading (MSR) is
2.3 cm.
---
🔍 Step 3: Find the Vernier Scale Reading
Now look for the
vernier scale division that aligns perfectly with a main scale division.
- The
4th division on the vernier scale lines up with a main scale mark.
- Since each vernier division represents
0.01 cm, the vernier scale reading (VSR) is:
$$
VSR = 4 \times 0.01\ \text{cm} = 0.04\ \text{cm}
$$
---
🔍 Step 4: Add the Readings
$$
\text{Final Reading} = \text{MSR} + \text{VSR} = 2.3\ \text{cm} + 0.04\ \text{cm} = 2.34\ \text{cm}
$$
---
✔ Final Answer:
$$
\boxed{2.34\ \text{cm}}
$$
This is the length measured by the vernier caliper.
Parent Tip: Review the logic above to help your child master the concept of dial caliper worksheet.
