If the de Broglie wavelength of the electron in $n^{t h}$ Bohr orbit in a hydrogenic atom is equal to $1.5$ $π a_{0}$ ( $a_{0}$ is Bohr radius), then the value of $n / z$ is:

Question

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-1-00-750-401-50

Toppr Admin · Accepted Answer

According to de-Broglie-apos-s hypothes is 2-x3C0-ra-n-x3BB-xA0-x21D2-2-x3C0-x22C5-a0-n2z-n-xD7-1-5-x3C0-a0nz-0-75-So- the correct option is B

If the de Broglie wavelength of the electron in $n^{t h}$ Bohr orbit in a hydrogenic atom is equal to $1.5$ $π a_{0}$ ( $a_{0}$ is Bohr radius), then the value of $n / z$ is:
$1.0$
$0.75$
$0.40$
$1.50$

According to de-Broglie's hypothes is $2 π r_{a} = n λ$

$\Rightarrow 2 π \cdot a_{0} = \frac{n^{2}}{z} = n \times 1.5 π a_{0}$

$\frac{n}{z} = 0.75$ .

So, the correct option is $B$

If the de Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 πa0 (a0 is Bohr radius), then the value of n/z is:1.00.750.401.50

According to de-Broglie's hypothes is 2πra=nλ ⇒2π⋅a0=n2z=n×1.5πa0nz=0.75.So, the correct option is B

If the de Broglie wavelength of the electron in $n^{t h}$ Bohr orbit in a hydrogenic atom is equal to $1.5$ $π a_{0}$ ( $a_{0}$ is Bohr radius), then the value of $n / z$ is:
$1.0$
$0.75$
$0.40$
$1.50$

According to de-Broglie's hypothes is $2 π r_{a} = n λ$

$\Rightarrow 2 π \cdot a_{0} = \frac{n^{2}}{z} = n \times 1.5 π a_{0}$

$\frac{n}{z} = 0.75$ .

So, the correct option is $B$