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Question

The mass of a body is 20.000g and its volume is 10.00cm3. If the measured values are expressed to the correct significant figures, the maximum error in the value of density is

A
0.001gcm3
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B
0.01gcm3
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C
0.100gcm3
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D
None of these
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Solution

The correct option is D None of these
Maximum error in measuring mass =0.001g, because least count is 0.001g. Similarly, maximum error in measuring volume is 0.01cm3.

Δρρ=ΔMM+ΔVV=0.00120.000+0.0110.00

=(5×105)+(1×103)=1.05×103

Δρ=(1.05×103)×ρ

=1.05×103×20.00010.00=0.002 h cm3

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