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1900's Physics and Wave

Wavelength of...

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Wavelength of the de-Broglie wave of an electron revolving in the fourth orbit of the hydrogen atom is (r0 is the Bohr's radius) Options: a- 25 r0 b- r0 c-10 r0 d- 8 r0

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Q. If Bohr radius is

r_{0},

the corresponding de Broglie wavelength of the electron is

Q. In a hypothetical Bohr hydrogen atom, the mass of the electron is doubled. The energy

E_{0}

r_{0}

of the first orbit will be (

r_{0}

is the Bohr radius)

r_{0}

be the radius of first Bohr's orbit of

H -

atom, then the de-Broglie's wavelength of an electron revolving in the third Bohr's orbit will be:

Q. If the attractive potential between electron and proton were given by

V (r) = V_{0} l n (\frac{r}{r_{0}})

V_{0}, r_{0}

are constants), the radius

r_{n}

n t h

Bohr orbit in Hydrogen atom would be proportional to

Q. The Schrondinger equation for hydrogen atom is

ψ = \frac{1}{4 \sqrt{2 π}} (\frac{1}{a_{0}})^{\frac{3}{2}} (2 - \frac{r_{0}}{a_{0}}) e^{-} \frac{r_{0}}{a_{0}}

a_{0}

is Bohr's radius. If the radial node is

2 s

r_{0}

r_{0}

a_{0}

x a_{0} = r_{0}

x

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1900's Physics and Wave

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