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  3. Chemistry
  4. If the de Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 π a0 (a0 is Bohr radius), then the value of n/z is :

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Q. If the de Broglie wavelength of the electron in $n^{th}$ Bohr orbit in a hydrogenic atom is equal to $1.5\, \pi a_0 \, (a_0$ is Bohr radius), then the value of $n/z$ is :

JEE MainJEE Main 2019Structure of Atom

Solution:

According to de-broglie's hypothesis
$2\pi r_n \, \, = \, n\lambda \, \, \Rightarrow \, \, \, 1\pi \, . \, a_0 \, = \, \frac{n^2}{z} \, = \, n \times \, 1.5 \, \, \pi a_0$
$\frac{n}{z} \, = \, 0.75$