The density of a solid ball is to be determined in an experiment. The diameter of the ball is me...

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The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is \( 0.5 \mathrm{~mm} \) and there are 50 divisions on the circular scale. The reading on the main scale is \( 2.5 \mathrm{~mm} \) and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative percentage error of \( 2 \% \), the relative percentage error in the density is
(a) \( 0.9 \% \)
(b) \( 2.4 \% \)
(c) \( 3.1 \% \)
(d) \( 4.2 \% \)
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