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17/08/2021 10:37 am
Topic starter
If the radius of first orbit of H atom is a0, the de Broglie wavelength of an electron in the third orbit is
(a) 4πa0
(b) 8πa0
(c) 6πa0
(d) 2πa0
1 Answer
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17/08/2021 10:45 am
Correct answer: (c) 6πa0
Explanation:
rn = a0n2
r = a0 x (3)2 = 9a0
mvr = \(\frac{nh}{2\pi}\)
mv = \(\frac{nh}{2 \pi r}\)
= \(\frac{3h}{2 \pi \times 9a_0}\)
= \(\frac{h}{6 \pi a_0}\)
λ = \(\frac{h}{mv}\) = \(\frac{h}{h}\) x 6πa0
= 6πa0