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 :

Question

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 : (A) 1.0 (B) 0.75 (C) 0.40 (D) 1.50

Tardigrade Admin · Accepted Answer

According to de-broglie's hypothesis 2π rn = nλ ⇒ 1π . a0 = (n2/z) = n × 1.5 π a0 (n/z) = 0.75

Q. 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 hypothesis
$2 π r_{n} = nλ \Rightarrow 1 π . a_{0} = \frac{n ^{2}}{z} = n \times 1.5 π a_{0}$
$\frac{n}{z} = 0.75$

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

1.0

0.75

0.40

1.50

According to de-broglie's hypothesis 2πrn​=nλ⇒1π.a0​=zn2​=n×1.5πa0​ zn​=0.75

Q. 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 :

According to de-broglie's hypothesis
$2 π r_{n} = nλ \Rightarrow 1 π . a_{0} = \frac{n ^{2}}{z} = n \times 1.5 π a_{0}$
$\frac{n}{z} = 0.75$