1. Tardigrade
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  3. Physics
  4. 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

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Q. 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

NEETNEET 2018Physical World, Units and Measurements

Solution:

Diameter of the ball
$= MSR + CSR \times$ (Least count) - Zero error
$=0.5 \,cm +25 \times 0.001-(-0.004)$
$=0.5+0.025+0.004$
$=0.529\, cm$