Single Choice

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?

A$$0.053$$cm
B$$0.521$$cm
C$$0.529$$cm
Correct Answer
D$$0.525$$cm

Solution

Least count $$= 0.001cm$$
M& R $$= 5 mm$$ and $$25$$ divisions
error $$= -0.004 cm$$
Observed reading $$= 0.5 + 25\times 0.001$$
$$ = 0.5 + 0.025$$
$$ = .525 cm$$
Actual reading $$= .525 + 0.004 $$
$$ = 0.529 cm$$


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