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The uncertainty in position for a dust ...

The uncertainty in position for a dust particle `(m=10^(-11)g` : diameter `=10^(-4)cm` and velocity =`10^(-4)(cm)/s` will be (The error in measurement of velocity is `1%`) X`times10^(-10)`cm` then "X" is

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Knowledge Check

  • A dust particle has mass equal to 10^(-11)g , diameter 10^(-4)cm and velocity 10^(-4)cms^(-1) . The error in measurment of velocity is 0.1% . What will be the uncertainty in its position?

    A
    `0.527xx10^(-10)cm`
    B
    `5.27xx10^(-9)cm`
    C
    `0.527xx10^(-15)`
    D
    0.527xx10^(-9)`

  • Uncertainty in position of a 0.25 g particle is 10^-5 . Uncertainty of velocity is (h = 6.6 xx 10^-34 J s) .

    A
    `1.2 xx 10^34`
    B
    `2.1 xx 10^-26`
    C
    `1.6 xx 10^-20`
    D
    `1.7 xx 10^-9`

  • The mass of a particle is 10^(-10)g and its radius is 2xx10^(-4)cm . If its velocity is 10^(-6)cm sec^(-1) with 0.0001% uncertainty in measurement, the uncertainty in its position is :

    A
    `5.2xx10^(-8)m`
    B
    `5.2xx10^(-7)m`
    C
    `5.2xx10^(-6)m`
    D
    `5.2xx10^(-9)J`

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    The uncertainty in the position of a moving bullet of mass 10 g is 10^-5 m . Calculate the uncertainty in its velocity.

    The uncertainty in the position of an electron (mass =9.1xx10^(-28)g ) moving with a velocity of 3.0xx10^(4) cms^(-1) accurate up to 0.011% will be

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