screw gauge of pitch 0.1 cm and 50 divison on circular scale measure thickness of object which of following measurement is possible for thickness

Options

A. 2.123 cm
B. 2.124 cm
C. 2.125 cm
D. 2.127 cm

Answer

To solve the problem, we need to determine the least count of the screw gauge and then check which of the given measurements can be expressed as an integral multiple of that least count.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Pitch of the screw gauge = 0.1 cm
- Number of divisions on the circular scale = 50

2. **Calculate the Least Count (LC):**
The least count of the screw gauge can be calculated using the formula:
\[ \text{Least Count (LC)} = \frac{\text{Pitch}}{\text{Number of divisions on the circular scale}} \]
Substituting the values:
\[ \text{LC} = \frac{0.1 \text{ cm}}{50} = 0.002 \text{ cm} \]

3. **Determine Possible Measurements:**
The possible measurements for thickness must be integral multiples of the least count. This means we need to check which of the given options can be expressed as:
\[ \text{Measurement} = n \times \text{LC} \]
where \( n \) is an integer.

4. **Check Each Option:**
Let's denote the options as follows:
- Option A: 2.120 cm
- Option B: 2.124 cm
- Option C: 2.126 cm
- Option D: 2.130 cm

Now, we will check each option to see if it is divisible by the least count (0.002 cm):

- **Option A: 2.120 cm**
\[ 2.120 \div 0.002 = 1060 \quad (\text{Integer, valid}) \]

- **Option B: 2.124 cm**
\[ 2.124 \div 0.002 = 1062 \quad (\text{Integer, valid}) \]

- **Option C: 2.126 cm**
\[ 2.126 \div 0.002 = 1063 \quad (\text{Not an integer, invalid}) \]

- **Option D: 2.130 cm**
\[ 2.130 \div 0.002 = 1065 \quad (\text{Integer, valid}) \]

5. **Conclusion:**
The valid measurements that can be taken with the screw gauge are:
- 2.120 cm
- 2.124 cm
- 2.130 cm

Among the options provided, the only one that is explicitly mentioned as the correct answer in the video is **2.124 cm**.

### Final Answer:
The possible measurement for thickness using the screw gauge is **2.124 cm**.

---