How many times does the electron go round the | vedclass

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

Question

(D) The frequency of revolution $f$ of an electron in the $n^{th}$ orbit is given by $f = \frac{v_n}{2\pi r_n}$.For the first Bohr orbit $(n=1)$ of a

Vedclass · Accepted Answer

$6.57 	imes 10^{15}$

Vedclass · Answer

(D) The frequency of revolution $f$ of an electron in the $n^{th}$ orbit is given by $f = \frac{v_n}{2\pi r_n}$.For the first Bohr orbit $(n=1)$ of a hydrogen atom,the velocity $v_1 = 2.18 	imes 10^6 \, m/s$ and the radius $r_1 = 0.529 	imes 10^{-10} \, m$.Substituting these values:$f = \frac{2.18 	imes 10^6}{2 	imes 3.14159 	imes 0.529 	imes 10^{-10}}$$f \approx \frac{2.18 	imes 10^6}{3.324 	imes 10^{-10}}$$f \approx 6.56 	imes 10^{15} \, Hz$.Thus,the electron completes approximately $6.57 	imes 10^{15}$ revolutions per second.

How many times does the electron go round the first Bohr orbit in a second?

Similar Questions

The ratio of the centripetal accelerations of the electron in two successive orbits of hydrogen is $81: 16$. Due to a transition between these two states,the angular momentum of the electron changes by ($h$ - Planck's constant).

Choose the correct statement$(s)$ for hydrogen and deuterium atoms (considering the motion of the nucleus).

Which of the following is a property of the Rydberg constant?

Which of the following is an integral multiple of $h/2\pi$ in Bohr's model of a hydrogen atom?

If the de-Broglie wavelength of an electron in the first Bohr orbit is $\lambda$,then the minimum radial distance between the electrons in the first and second Bohr orbits is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module