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The kinetic energy of the electron orbit...

The kinetic energy of the electron orbiting in the first excited state of hydrogen atom is 3.4 eV. Determine the de- broglie wavelength associated with it.
Mass of electron=`9.1xx10^(-31)kg`,
Planck's constant=`6.63xx10^(-34)Js`.

Text Solution

AI Generated Solution

To determine the de Broglie wavelength associated with the electron orbiting in the first excited state of a hydrogen atom with a kinetic energy of 3.4 eV, we can follow these steps: ### Step 1: Convert Kinetic Energy from eV to Joules The kinetic energy (KE) is given in electron volts (eV). We need to convert this to joules (J) using the conversion factor \(1 \text{ eV} = 1.6 \times 10^{-19} \text{ J}\). \[ KE = 3.4 \text{ eV} \times 1.6 \times 10^{-19} \text{ J/eV} = 5.44 \times 10^{-19} \text{ J} \] ...
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Knowledge Check

  • The total energy of an electron in the first excited state of hydrogen is about - 3.4 eV. Its kinetic energy in this state is

    A
    `-3.4eV`
    B
    `-6.8eV`
    C
    `6.8 eV`
    D
    `3.4 eV`
  • The total energy of an electron in the first excited state of hydrogen atom is about -3.4eV . Its kinetic energy in this state is

    A
    `-3.4eV`
    B
    `3.4eV`
    C
    `6.8eV`
    D
    `-6.8eV`
  • The total energy of an electron in the first excited state of hydrogen is about -3.4 eV . Its kinetic energy in this state is:

    A
    `-3.4 eV`
    B
    `-6.8 eV`
    C
    `6.8 eV`
    D
    `3.4 eV`
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