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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Chapter

NEET 2026 · Physics · Chapter

A student uses a screw gauge to measure the thickness of a glass...

A student uses a screw gauge to measure the thickness of a glass plate. The pitch of the screw gauge is 0.5 mm0.5\text{ mm} and it has 5050 divisions on its circular scale. The main scale reading is 1.5 mm1.5\text{ mm} and the 24th24^{\text{th}} division of the circular scale coincides with the reference line. What is the thickness of the glass plate?

Options

  1. A1.74 cm1.74\text{ cm}
  2. B0.174 cm0.174\text{ cm}
  3. C0.198 cm0.198\text{ cm}
  4. D0.0174 cm0.0174\text{ cm}

Correct answer

B. 0.174 cm0.174\text{ cm}

Step-by-step solution

Least count of the screw gauge is given by the ratio of pitch to the number of divisions on the circular scale.

Least count (LC)=0.5 mm50=0.01 mm\text{Least count (LC)} = \dfrac{0.5\text{ mm}}{50} = 0.01\text{ mm}

The thickness of the glass plate is the sum of the main scale reading and the circular scale reading multiplied by the least count.

Thickness=MSR+(CSR×LC)\text{Thickness} = \text{MSR} + (\text{CSR} \times \text{LC})

Thickness=1.5 mm+(24×0.01 mm)\text{Thickness} = 1.5\text{ mm} + (24 \times 0.01\text{ mm})

Thickness=1.5 mm+0.24 mm=1.74 mm\text{Thickness} = 1.5\text{ mm} + 0.24\text{ mm} = 1.74\text{ mm}

Converting the thickness into centimeters:

Thickness=0.174 cm\text{Thickness} = 0.174\text{ cm}

Answer: 0.174 cm0.174\text{ cm}
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