Question 197: Atoms & Nuclei

Question

Speed of an electron in Bohr's $$7^{	ext {th }}$$ orbit for Hydrogen atom is $$3.6 	imes 10^{6} \mathrm{~m} / \mathrm{s}$$. The corresponding speed of the electron in $$3^{	ext {rd }}$$ orbit, in $$\mathrm{m} / \mathrm{s}$$ is :

Accepted Answer

$$v\,\alpha {z \over n}$$
$${{{v_1}} \over {{v_2}}} = \left( {{{{n_2}} \over {{n_1}}}} ight)$$
$$ \Rightarrow {{3.6 	imes {{10}^6}} \over {{v_2}}} = {3 \over 7}$$
$$ \Rightarrow {v_2} = {7 \over 3} 	imes 3.6 	imes {10^6}$$ m/s
$$ = 8.4 	imes {10^6}$$ m/s

Answer

$$\left(1.8 	imes 10^{6}ight)$$

Answer

$$\left(7.5 	imes 10^{6}ight)$$

Answer

$$\left(8.4 	imes 10^{6}ight)$$

Answer

$$\left(3.6 	imes 10^{6}ight)$$

Atoms & Nuclei

Speed of an electron in Bohr's $7^{\text {th }} orbit for Hydrogen atom is 3.6 \times 10^{6} \mathrm{~m} / \mathrm{s}. The corresponding speed of the electron in 3^{\text {rd }} orbit, in \mathrm{m} / \mathrm{s}$ is :

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