Screw Gauge Diameter Measurement – Rankers Physics

Screw Gauge: Practice Problem & Solution

A screw gauge gives the following readings when used to measure the diameter of a wire: Main scale reading : 0 mm Circular scale reading : 52 divisions Given that 1 mm on main scale corresponds to 100 divisions on the circular scale. The diameter of the wire from the above data is
0.052 cm
0.52 cm
0.026 cm
0.26 cm

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Screw Gauge. Understanding the underlying formula is key to arriving at the correct answer below:

Least Count \(\frac{1\text{ mm}}{100} = 0.01\text{ mm} = 0.001\text{ cm}\. Diameter = MSR + (CSR times LC) = 0\text{ mm} + 52 \times 0.001\text{ cm} = 0.052\text{ cm}\.

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