The ratio of the velocity of an electron in t | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The velocity of an electron in a hydrogen-like species is given by the formula: $v = v_0 	imes \frac{Z}{n}$,where $v_0$ is the velocity of an ele

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(B) The velocity of an electron in a hydrogen-like species is given by the formula: $v = v_0 	imes \frac{Z}{n}$,where $v_0$ is the velocity of an electron in the ground state of hydrogen $(2.18 	imes 10^6 \ m/s)$,$Z$ is the atomic number,and $n$ is the principal quantum number.For the ground state of a hydrogen atom $(H)$: $Z_1 = 1$,$n_1 = 1$. So,$v_1 = v_0 	imes \frac{1}{1} = v_0$.For the second excited state of a $He^{+}$ ion: $Z_2 = 2$,and the second excited state corresponds to $n_2 = 3$. So,$v_2 = v_0 	imes \frac{2}{3}$.The ratio of the velocities is $\frac{v_1}{v_2} = \frac{v_0}{v_0 	imes (2/3)} = \frac{3}{2} = 1.5$.

The ratio of the velocity of an electron in the ground state of a hydrogen atom to its velocity in the second excited state of a $He^{+}$ ion is:

Similar Questions

The ratio of the minimum wavelengths of the Lyman and Balmer series is ...... .

As we move away from the nucleus,the energy of the electron

Explain the energy of a photon,the kinetic energy of an ejected electron,and the number of photons in the photoelectric effect.

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is equal to $\frac{h^{2}}{xma_{0}^{2}}$. The value of $10x$ is ........ . ($a_{0}$ is radius of Bohr's orbit) (Nearest integer) [Given : $\pi=3.14$]

If an electron transitions from $n = 5$ to $n = 2$ in a hydrogen spectrum,identify the series and the region of the spectrum.

Vedclass Test Series

Exam Paper Generator

Online Exam Module