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The radius of the second Bohr orbit for ...

The radius of the second Bohr orbit for hydrogen atom is (Planck's constant `(h) - 6.6262 xx 10^(-34)Js`, mass of electron `= 9.1091 xx 10^(-31) kg`, charge of electron `(e) = 1.60210 xx 10^(-19)C`, permitivity of vacuum
`(in_(0)) = 8.854185 xx 10^(-12) kg^(-1) m^(-3) A^(2))`

A

`1.65 Å`

B

`4.76 Å`

C

`0.529 Å`

D

`2.12 Å`

Text Solution

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The correct Answer is:
C
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Radius of the fourth orbit in hydrogen atom is 0.85 nm. Calculate the velocity of the electron in this orbit (mass of electron = 9.1 xx 10^(-31) kg) .

Calculate the radius of second Bohr orbit in hydrogen atom from the given data. Mass of electron =9.1xx10^(-31)" kg" Charge on the electron =1.6xx10^(-19)C Planck's constant =6.63xx10^(-34)" J-s". Permittivity of free space =8.85xx10^(-12)"C"^(2)//"Nm"^(2) .

Knowledge Check

  • The radius of the second Bohr orbit for hydrogen atom is (Planck's constant, h = 6.6262 xx 10^(-34) Js mass of electron = 9.1091 xx 10^(-31) kg charge of electron, e = 1.60210 xx 10^(-19) C permitivity of the vacuum, in_(0) = 8.854185 xx 10^(-12) kg^(-1) m^(-3) A^(2) )

    A
    `0.529 Å`
    B
    `2.12 Å`
    C
    `1.65 Å`
    D
    `4.76 Å`

  • The radius of the second Bohr orbit for hydrogen atom is : (Planck's constant, h = 6.6262 xx 10^(-34) Js , mass of electron = 9.1091 xx 10^(-31) kg , charge of electron e = 1.60210 xx 10^(-19) C , permittivity of vaccum in_0 = 8.854185 xx 10^(-12) kg^(-1) m^(-3) A^2)

    A
    `1.65 Å`
    B
    `4.76 Å`
    C
    `0.529 Å`
    D
    `2.12 Å`

  • The radius of the second Bohr orbit for hydrogen atom is : (Plank'c const. h = 6.6262 xx 10^(-34) Js , mass electron = 9.1091 xx 10^(-31) Kg , charge of electron e = 1.60210 xx 10^(-19) , permittivity of vaccum in_(0) = 8.854185 xx 10^(-12) kg^(-1) m^(-3) A^(2))

    A
    `1.65Å`
    B
    `4.76Å`
    C
    `0.529Å`
    D
    `2.12Å`

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    The mass of an electron is 9.1 xx 10^(-31) kg . If its K.E. is 3.0 xx 10^(-25)J , calculate its wavelength

    The radius of the second Bohr orbit for hydrogen atom is (Planck's Const. h=6.6262xx10^(-34) Js, mass of electron = 9.1091xx10^(-31) kg , charge of electron e=1.60210xx10^(-19) C , permittivity of vacuum in_0=8.854185xx10^(-12) kg^(-1) m^(-3) A^2 )

    The radius of second Bohr orbit for hydrogen atom is ( h= 6.6262 xx 10^(-34)Js , mass of electron =9.1091 xx 10^(-31)kg , charge e= 1.60210 xx 10^(-19)C , permitivity of vacuum, in_(0)= 8.854185 xx 10^(-12)kg^(-1) m^(-3) A^(2) )

    Gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is 8.8 xx 10^(10) C kg^(-1) . What is the mass of the electron ? (Given charge of the electron = 1.6 xx 10^(-19) C)

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