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Angular momentum of an electron in an or...

Angular momentum of an electron in an orbit hydrogen atom is `4.2xx10^(-34) J*s`. What is the energy of that electron in that orbit? Given mass of an electron = `9.1xx10^(-31)kg ,e=1.6xx10^(-19)C,1eV=1.6xx10^(-19) erg`.

Text Solution

Verified by Experts

The correct Answer is:
`-0.856 eV`
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Radius of the Bohr orbit of hydrogen atom is 0.53 Å . What will be the velocity of the electron in the second quantum state? Given, mass of electron = 9.1xx10^(-31) kg and e=1.6 xx10^(-19) C .

Calculate the mass of 1 mol of electrons if the mass of one electron be 9.11xx10^(-31)kg .

Knowledge Check

  • Calculate the velocity of an electron having wavelength of 0.15 nm Mass of an electron is 9.109xx10^(-28) g (h=6.626 xx10^(-27) erg-s)

    A
    `2.062xx10^(-8) cm s^(-1)`
    B
    `2.062xx10^(-15) cm s^(-1)`
    C
    `4.84 xx10^8 cm s^(-1)`
    D
    `2.062xx10^(-9)cms^(-1)`

  • Calculate the velocity of an electron having wavelength of 0.15 nm Mass of an electron is 9.109xx10^(-28) g (h=6.626 xx10^(-27) erg-s)

    A
    `4.85xx10^8 cm s^(-1)`
    B
    `2.062xx10^(-15) cm s^(-1)`
    C
    `2.068xx10^(-10) cm s^(-1)`
    D
    `4.85xx10^(-8) cm s^(-1)`

  • An electron is in the third orbit of a hydrogen atom. If h =6.6 xx10^(-34) J *s , its orbital angular momentum is

    A
    `1.98xx10^(-33) j*s`
    B
    `2.2 xx10^(-34) J*s`
    C
    `3.15xx10^(-34)J*s`
    D
    `1.05 xx10^(-34) J *s`

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    What is the de Broglie wavelength related to an electron of energy 100 eV ? (Given, mass of electron, m = 9.1 xx 10^(-31) kg, " " e = 1.6 xx 10^(-19) C and h = 6.63 xx 10^(-34) J.s )

    When ultraviolet rays of wavelength 620 Å is incident on a hydrogen atom in the ground state, its electron is emitted with a velocity of 1.5 xx10^(6) m *s^(-1) . What is the ionisation energy of hydrogen ? Given , h= 6.625xx10^(-34)J *s , mass of electron = 9.1 xx 10^(-31)kg, c=3xx 10^(8)m*s^(-1) and 1 eV=1.6xx 10^(-19)J .

    An electron has a velocity of 600 m*s^(-1) [accuracy: 0.005%]. With what accuracy can we locate the position of this electron[ mass of an electron= 9.1xx10^(-31)kg,h=6.6xx10^(-34)J*s ]

    Calculate the de Broglie wavelength associated with an electron moving with velocity of 1.0xx10^(7)m//s . (mass of an electron: 9.1xx10^(-31)kg )

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