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Calculate the wave length of an electron...

Calculate the wave length of an electron of mass `9.1 xx 10^(-31) kg`, moving with a velocity of `2.05 xx 10^(7)ms^(-1)`.

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To calculate the wavelength of an electron, we can use the de Broglie wavelength formula, which is given by: \[ \lambda = \frac{h}{mv} \] Where: - \(\lambda\) is the wavelength, ...
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The uncertainty in the position of an electron (mass = 9.1 xx 10^-28 g) moving with a velocity of 3.0 xx 10^4 cm s^-1 accurate up to 0.001 % will be (Use (h)/(4 pi) in the uncertainty expression, where h = 6.626 xx 10^-27 erg - s )

Knowledge Check

  • Uncertainty in the position of an electron ("mass = "9.1 xx 10^(-31)kg) moving with a velocity 300 ms^(-1) accurate upto 0.001% will be

    A
    `19.2 xx 10^(-2)m`
    B
    `5.76 xx 10^(-2)m`
    C
    `1.92 xx 10^(-2)m`
    D
    `3.84 xx 10^(-2)m`

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    Calculate the wavelength of an electron moving with a velocity of 2.05 xx 10^7 ms^(-1) .

    Calculate the wavelength of an electron moving with a velocity of 2. 05 xx 10^7 ms^(-1) .

    Which of the following should be the wavelength of an electron if its mass is 9.1xx10^(-31)kg and its velocity is 1//10 of that of light and the value of h is 6.6252xx10^(-24) joule second?

    What will be de Broglie's wavelength of an electron moving with a velocity of 1.2 xx 10^(5) ms^(-1) ?

    It is not possible to determine preciselt both the position and momentum (or velocity) of a small moving particle such as electron, proton etc. This is known as Heisenber uncertainty principle. The mathemactical form of this principle is : Delta x.Delta p ge (h)/(4pi) (constant) However this principle is irrevalent in case of bigger particles such as a cup, ball, car etc., that we come across in our daily life. Given that the mass of electron is 9.1 xx 10^(-31) kg and velocity of electron is 2.2 xx 10^(6) ms^(-1) , if uncertainty in its velocity is 0.1% , the uncertainty in position would be

    The de-Broglie wavelength associated with a particle of mass 10^-6 kg moving with a velocity of 10 ms^-1 , is

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