Explanation
Bohr defined stable orbits of electron revolution in his second postulate. According to this postulate:
· An electron revolves around the nucleus in orbits.
· The angular momentum of revolution is an integral multiple of h/2π where h is Planck’s constant.
Hint
Quantum number: It is defined as the set of numbers which describes the position and energy of electrons in an atom. There are four quantum numbers: principal, azimuthal, magnetic and spin quantum numbers.
Step 1: Determine the maximum number of subshells
The principle quantum number ($$n$$) describe the distance between the nucleus and the electrons.The azimuthal quantum number ($$l$$) is given by ($$n - l$$)
We know that the maximum number of subshells is equal to is $$\left( 2l+1 \right)$$.
Step 2: Determine the maximum number of electrons in a subshellMaximum electrons a subshell can accommodate is $$2$$
Therefore, the total number of electrons in a subshell is
$$2\left( 2l+1 \right)=\left( 4l+2 \right)$$
Thus, maximum number of electrons in a subshell is $$( 4l+2)$$
Final answer
The correct answer is option (D).
Hint: We know that distance is a multiple of velocity and time.
Correct Answer: Option (A).
Explanation:
The time taken by an electron to complete one revolution of Bohr's orbit of the hydrogen atom $$=\dfrac{distance}{velocity}$$
Bohr's orbit is circular. So, the distance $$=2\pi r$$. .....$$(i)$$
Where $$r$$ is the radius of the Bohr's orbit.
Again we know that $$mvr=\dfrac{nh}{2\pi}$$
$$v=\dfrac{nh}{2\pi mr}$$ ....$$(ii)$$
$$t=\dfrac {distance}{velocity}$$
From the equations $$(i)$$ and $$(ii)$$, we got
$$t=\dfrac{2\pi r}{\dfrac{nh}{2\pi mr}}$$
$$\therefore t=\dfrac{4{\pi}^2mr^2}{nh}$$.
Final Answer: Time taken by an electron to complete one revolution in Bohr's orbit of the hydrogen atom is $$\dfrac{4{\pi}^2mr^2}{nh}$$.
Please disable the adBlock and continue. Thank you.