Electrons in a certain energy level n=n_1, can emit 3 spectral lines. When they are in another energy level, n=n_2. They can emit 6 spectral lines. The orbital speed of the electrons in the two orbit…

Question

Electrons in a certain energy level n=n_1, can emit 3 spectral lines. When they are in another energy level, n=n_2. They can emit 6 spectral lines. The orbital speed of the electrons in the two orbits are in the ratio

Accepted Answer

Correct answer: A. (a) Number of emission spectral lines N= n (n-1 )2 ∴3= n_1(n_1-1)2, in first case. or n_1^2-n_1-6=0 or (n_1-3)(n_1+2)=0. Take positive root. ∴ n_1=3 Again, 6= n_2(n_2-1)2, in second case. or n_2^2-n_2-12=0 or (n_2-4)(n_2+3)=0. Take positive root, or n_2=4 Now velocity of electron, v= 2 πKZe^2 nh ∴ v_1v_2= n_2n_1= 43

$Electrons in a certain energy level n = n_{1}, can emit 3 spectral lines. When they are in another energy level, n = n_{2} . They can emit 6 spectral lines. The orbital speed of the electrons in the two orbits are in the ratio$

Solution

More Atoms PYQs