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NEET
Exam
NEET
Subject
Physics
Chapter
Experimental Physics

NEET · Physics · Experimental Physics

A screw gauge has a pitch of 0.5 mm and 50 divisions on its...

A screw gauge has a pitch of 0.5 mm0.5\text{ mm} and 5050 divisions on its circular scale. When used to measure the thickness of a glass plate, the main scale reading is 2.0 mm2.0\text{ mm} and the total measured thickness is 2.34 mm2.34\text{ mm}. The reading on the circular scale (number of coinciding divisions) is:

Options

  1. A3434
  2. B1717
  3. C6868
  4. D234234

Correct answer

A. 3434

Step-by-step solution

Least count (LC) of the screw gauge is given by:
LC=PitchNumber of circular scale divisions\text{LC} = \dfrac{\text{Pitch}}{\text{Number of circular scale divisions}}
LC=0.5 mm50=0.01 mm\text{LC} = \dfrac{0.5\text{ mm}}{50} = 0.01\text{ mm}

The total reading is given by the formula:
Total Reading=Main Scale Reading (MSR)+(Circular Scale Reading (CSR)×LC)\text{Total Reading} = \text{Main Scale Reading (MSR)} + (\text{Circular Scale Reading (CSR)} \times \text{LC})

Substituting the given values:
2.34 mm=2.0 mm+(CSR×0.01 mm)2.34\text{ mm} = 2.0\text{ mm} + (\text{CSR} \times 0.01\text{ mm})
0.34 mm=CSR×0.01 mm0.34\text{ mm} = \text{CSR} \times 0.01\text{ mm}

CSR=0.340.01=34\text{CSR} = \dfrac{0.34}{0.01} = 34

The coinciding division on the circular scale is 3434.

Answer: 3434
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