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Q.

The measured mass and volume of a body are 22.42g and 4.7cm3 respectively with errors 0.01g and 0.1cc. The maximum error in density is

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a

0.2%

b

2.17%

c

2%

d

5%

answer is D.

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Detailed Solution

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d=mV⇒Δdd=Δmm+ΔVV=0.0122.42×0.14.7 =0.00045+0.02127=0.0217%Δdd=0.0217×100=2.17%

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The measured mass and volume of a body are 22.42g and 4.7cm3 respectively with errors 0.01g and 0.1cc. The maximum error in density is