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Question: Check the correctness of the following statements about Bohr model of hydrogen atom : (i) the accel...

Check the correctness of the following statements about Bohr model of hydrogen atom :

(i) the acceleration of the electron in n = 2 orbit is more than in n = 1 orbit

(ii)the angular momentum of the electron in n = 2 orbit is more than in n = 1 orbit

(iii) the KE of the electrón in n = 2 orbitislessthan in n = 1 orbit

A

All the statements are correct

B

Only (i) and (ii) are correct

C

Only (ii) and (iii) are correct

D

Only (iii) and (i) are correct

Answer

Only (ii) and (iii) are correct

Explanation

Solution

(i) a = v2rZ2n2×Zn2\frac{v^{2}}{r} \propto \frac{Z^{2}}{n^{2}} \times \frac{Z}{n^{2}} Ž a Z2n4\propto \frac{Z^{2}}{n^{4}}

(ii) L = mvr = nh2π\frac{nh}{2\pi} Ž L µ n

(iii) KE = 12KZe2r\frac{1}{2}\frac{KZe^{2}}{r}Ž KE µ1r\frac{1}{r} Ž KE µ 1n2\frac{1}{n^{2}}