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Write an expression for the wavelength a...

Write an expression for the wavelength acquired by an electron accelerated by a potential of V volts.

Text Solution

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`lamda=(h)/(sqrt(2meV))`
['m' and 'e' represent mass and charge of an electron]
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Knowledge Check

  • The approximate wavelength of matter wave associated with an electron, that is accelerated by applying 100V of potential difference in a discharge tube, will be-

    A
    123 pm
    B
    12.3 pm
    C
    1.23 pm
    D
    0.123 pm

  • Statement I: If a stationary electron is accelerated with a potential difference of 1V, its de Broglie wavelength becomes 12.27 Å approximately. Statement II: The relation between the de Broglie wavelength lamda and the accelerating potential V of an electron is given by lamda = (12.27)/(V) Å

    A
    Statement I is true, statement II is true, statement II is a correct explanation for statement I
    B
    Statement I is true, statement II is true, statement II is not a correct explanation for statement I
    C
    statement I is true, statement II is false
    D
    statement I is false, statement II is true

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