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NEET · Physics · STD 11 - 1. units,dimensions and measurement

A student measured the diameter of a small  steel ball using a screw gauge of least count \(0.001\, cm.\) The main scale reading is \(5\, mm\) and zero of circular scale division coincides with \(25\) divisions above the reference level. If screw gauge has a zero error of \(-0.004 \,cm,\) the correct diameter of the ball is

  1. A \(0.521 \,cm\)
  2. B \(\;\)\(0.525\, cm\)
  3. C \(0.529\, cm\)
  4. D \(\;\) \(0.053\, cm\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(0.529\, cm\)

Step-by-step Solution

Detailed explanation

Diameter of the ball
\(= MSR \,+ \,CSR \times\) (Least count) \(- Zero\, error\)
\(= 5\ mm + 25 \times 0.001\ cm - (-0.004)\  cm\)
\(= 0.5\ cm +  25 \times 0.001\ cm - (-0.004)\ cm = 0.529\ cm.\)
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