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The measured mass and volume of a body a...

The measured mass and volume of a body are `53.63g` and `5.8 cm^(3)` respectively, with possible errors of `0.01g` and `0.1cm^(3)`. The maximum percentage error in density is about

A

`0.2%`

B

`2%`

C

`5%`

D

`10%`

Text Solution

Verified by Experts

The correct Answer is:
B
Density `rho= M/V`, `(Deltarho)/(rho) xx 100 = [ (DeltaM)/M + (DeltaV)/V ] 100`
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Knowledge Check

  • The measured mass and volume of a body are 22.42 g and 4. cm^(3) , respectively, with possible errors of 0.01 g and 0.1 cm^(3) . The maximum error in density is

    A
    `0.2%`
    B
    `2%`
    C
    `5%`
    D
    `10%`

  • The mass and volume of a body are found to be 5.00 pm 0.05 kg " and "1.00 pm 0.05 m^3 respectively. Then, the maximum possible percentage error in its density is

    A
    0.06
    B
    0.03
    C
    0.1
    D
    0.05

  • A body weighs 22.42g and has a measured volume of 4.7cc the possible errors in the measurement of mass and volume are 0.01g and 0.1cc . Then the maximum percentage error in the density will be

    A
    `22%`
    B
    `2.2%`
    C
    `0.22%`
    D
    `0.022%`
    • NARAYNA-UNITS AND MEASUREMENTS-EXERCISE-IV
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