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QJEEM19Phf7f2: JEE Main 2019 Physics - Class 11 JEEM19Phf7f2 Solution: The pitch and the number of divisions, on the circular scale,…

The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies 3 divisions below the mean line.

The readings of the main scale and the circular scale, for a thin sheet, are 5.5 mm and 48 respectively, the thickness of this sheet is :

Multiple Choice Options

  • A 5.755 mm
  • B 5.950 mm
  • C 5.725 mm
  • D 5.740 mm

Step-by-Step Verified Solution

We know,

Least count (LC) = Pitchno.ofdivisions

∴  LC = 0.5100

= 0.5 × 10−2 mm

Reading = MSR + CSR − positive error

Given, Main scale reading (MSR) = 5.5 mm

Circular scale reading (CSR)

= 48 × 0.5 × 10−2 mm

= 0.24

As zero of its circular scale lines 3 division below the mean line, it means error is position error.

∴  positive error

= 3 × 0.5 × 10−2 mm

= 0.015 mm

∴  Reading = 5.5 + 0.24 − 0.015

= 5.725 mm

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