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The wavelength associated with an electr...

The wavelength associated with an electron moving with a velocity of `10^10 cm per sec`.

Text Solution

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Mass of the electron `=9.10xx10^(-28)g`
velocity of electron`=10^(10)` cm per sec.
`h=6.62xx10^(-27)erg-sec`
`h=6.62xx10^(27)erg-sec`
According to de Broglie equation,
`lamda=(h)/(mv)=(6.62xx10^(-27))/(9.10xx10^(-28)xx10^(10))`
`=7.72xx10^(-10)cm`
`=0.0772` Ã…
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Knowledge Check

  • The wavelength associated with an electron moving with a velocity of 10^8 "cm s"^(-1) is

    A
    72.7 Å
    B
    7.27 Å
    C
    0.727 Å
    D
    0.277 Å

  • The wavelength associated with an electron moving with velocity 10^(10) ms^(-1) is

    A
    `6.62 x10^(-10) m`
    B
    ` 7.27 xx 10^(-14) m`
    C
    ` 3.69 xx 10^(-12) m`
    D
    ` 4.92 xx 10^(-11) m`

  • Wavelength associated with electron motion

    A
    increases with increase in speed of electron.
    B
    remains same irrespective of speed of electron.
    C
    decreases with increase of speed of e (electron).
    D
    is zero