SATHEE: Atomic Structure Question 400

Atomic Structure Question 400

Question: If the radius of first orbit of H atom is $a_{0}$ the de- Broglie wavelength of an electron in the third orbit is

Options:

A) $4 π a_{0}$

B) $8 π a_{0}$

C) $6 π a_{0}$

D) $2 π a_{0}$

Show Answer

Answer:

Correct Answer: C

Solution:

$r_{n} = a_{0} n^{2}$

$r = a_{0} \times {(3)}^{2} = 9 a_{0}$

$m v r = \frac{n h}{2 π};$

$m v = \frac{n h}{2 π r} = \frac{3 h}{2 π \times 9 a_{0}} = \frac{h}{6 π a_{0}}$

$λ = \frac{h}{m v} = \frac{h}{h} \times 6 π a_{0} = 6 π a_{0}$

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Atomic Structure Question 400

Question: If the radius of first orbit of H atom is a0 the de- Broglie wavelength of an electron in the third orbit is

Options:

Answer:

Solution:

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Question: If the radius of first orbit of H atom is $a_{0}$ the de- Broglie wavelength of an electron in the third orbit is