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Mass of a sphere of radius r=10.00 cm is...

Mass of a sphere of radius r=10.00 cm is 30.000 g if measured values are expressed upto the correct significant figures then maximum fractional error in calculation of density of the sphere is

A

`3xx10^(-5)`

B

`3.3xx10^(-3)`

C

`3.033xx10^(-3)`

D

`3.03xx10^(-5)`

Text Solution

Verified by Experts

The correct Answer is:
C
`rho=(m)/((4)/(3)pir^(3))implies(Deltarho)/(rho)=(Deltam)/(m)+(3Deltar)/(r)`
`implies(Deltarho)/(rho)=(0.001)/(30)+(3xx0.01)/(10)`
`(Deltarho)/(rho)=3.3xx10^(-5)+3xx10^(-3)`
`(Deltarho)/(rho)=0.033xx10^(-3)+3xx10^(-3)`
`(Deltarho)/(rho)=3.033xx10^(-3)`
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