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Question

A sphere has a mass of 12.2kg±0.1kg and radius 10cm±0.1cm , the maximum % error in density is

A
10%
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B
2.4%
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C
3.83%
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D
4.2%
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Solution

The correct option is C 3.83%
e=mV=m4/3πr3

Δee=Δmm+3Δrr

=0.112.2+3×0.110

=1122+0.310=0.0383

max percentage error =0.0383×100% =3.83% [C]

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