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

a
0.001gcm−3
b
0.010gcm−3
c
0.100gcm−3
d
none of these

detailed solution

Correct option is D

Maximum error in measuring mass = 0.001 g, because least count is 0.001 g, Similarly, maximum error in measuring volume is 0.01 cm3.Δρρ=ΔMM+ΔVV=0.00120.000+0.0110.00                                =5×10−5+1×10−3=1.05×10−3Δρ=1.05×10−3×ρ     =1.05×10−3×20.00010.00=0.002gcm−3

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