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The dimensional formula for a physical q...

The dimensional formula for a physical quantity `x` is `[M^(-1) L^(3) T^(-2) ]` . The errors in measuring the quantities `M , L , and T,` respectively are `2%, 3% , and 4%`. The maximum percentage of error that occurs in measuring the quantity `x` is

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`19%`
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Knowledge Check

  • The dimensional formula of physical quantity is [M^(a)L^(b)T^(c)] .Then that physical quantity is

    A
    surface tension if a=1,b=1,c=-2
    B
    force if a=1,b=1,c=2
    C
    angular frequency if a=0,b=0,c=-1
    D
    spring constant if a=1,b=-1,c=-2

  • If the dimensional formula for the physical quantity is [M^(1)L^(2)T^(-2)] then the physical quantity is ______ .

    A
    torque
    B
    impulse
    C
    force
    D
    force per unit area

  • A physical quantity X is represented by X = (M^(x) L^(-y) T^(-z) . The maximum percantage errors in the measurement of M , L , and T , respectively , are a% , b% and c% . The maximum percentage error in the measurement of X will be

    A
    `( ax + by - cz)%`
    B
    `( ax - by - cz)%`
    C
    `( ax + by + cz)%`
    D
    `( ax - by + cz)%`

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    A physical quantity is given by X=[M^(a)L^(b)T^(c)] . The percentage error in measurement of M,L and T are alpha, beta, gamma respectively. Then the maximum % error in the quantity X is

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