Speed of an electron in Bohr’s 7 th orbit for Hydrogen atom is 3 . 6   ×   10 6   m   s - 1 . The corresponding speed of the electron in 3 rd orbit, in m   s - 1 is :

Question

Speed of an electron in Bohr&rsquo;s 7 th orbit for Hydrogen atom is 3 . 6 &#160; &#215; &#160; 10 6 &#160; m &#160; s - 1 . The corresponding speed of the electron in 3 rd orbit, in m &#160; s - 1 is :

Aicharya · Accepted Answer

For hydrogen like atom, the velocity of electron in $n^{t h}$ orbit is given by

$v = \frac{z^{2} e^{2}}{2 ε_{0} h n}$

$∴ v \propto \frac{1}{n}$

$\Rightarrow \frac{v_{1}}{v_{2}} = \frac{n_{2}}{n_{1}}$

$\Rightarrow \frac{3.6 \times 10^{6}}{v_{2}} = \frac{3}{7}$

$v_{2} = 8.4 \times 10^{6} m s^{- 1}$

Speed of an electron in Bohr’s 7 th orbit for Hydrogen atom is 3 . 6   ×   10 6  …

Solution

Speed of an electron in Bohr&rsquo;s 7 th orbit for Hydrogen atom is 3 . 6 &#160; &#215; &#160; 10 6 &#160;…

Solution

Speed of an electron in Bohr’s 7 th orbit for Hydrogen atom is 3 . 6 × 10 6 …