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

The measured mass and volume of a body are `2.42 g and 4.7 cm^(3)` respectively with possible error 0.01 g and 0.1 cc. Find the maximum error in density.

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To find the maximum error in density given the mass and volume of a body along with their possible errors, we can follow these steps: ### Step 1: Understand the formula for density The formula for density \( D \) is given by: \[ D = \frac{m}{V} \] where \( m \) is the mass and \( V \) is the volume. ...
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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 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%`
  • The mass of a body is 20.0 g and its volume is 10.0 cm^(3) . If possible maximum errors in the measurement of mass of body and volume of body are 0.001 g and 0.01 cm^(3) respectively, then the maximum error in the value of density is

    A
    ` 0.001 g cm^( -3)`
    B
    ` 0.010 g cm^( -3)`
    C
    ` 0.10 g cm^( -3)`
    D
    none of these
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