QJEEM18Ch7ad8: JEE Main 2018 Chemistry - Class 11 JEEM18Ch7ad8 Solution: The de-Broglie's wavelength of electron present in first Bohr…

Question

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The de-Broglie's wavelength of electron present in first Bohr orbit of 'H' atom is :

Accepted Answer

Radius r = 0.529

\times

\frac{n^{2}}{z}

In first Bohr orbit of hydrogen atom radius,

r = 0.529

\times

\frac{1^{2}}{1}

= 0.529

\overset{\circ}{A}

Angular momentum,

mvr =

\frac{n h}{2 π}

∴

for n = 1,

mvr =

\frac{h}{2 π}

\Rightarrow

2

π

r =

\frac{h}{m v}

=

λ

[ as

λ

=

\frac{h}{m v}

]

∴

λ

= 2

π

r = 2

π

\times

0.5 29

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