Atomic Structure Question 125

Question: The Bohr orbit radius for the hydrogen atom $ (n=1) $ is approximately $ 0.530{\AA} $ . The radius for the first excited state $ (n=2) $ orbit is [CBSE PMT 1998; BHU 1999]

Options:

A) $ 0.13{\AA} $

B) $ 1.06{\AA} $

C) $ 4.77{\AA} $

D) $ 2.12{\AA} $

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Answer:

Correct Answer: D

Solution:

$ {I^{st}} $ excited state means $ n=2 $

$ r=r_0\times 2^{2} $

$ =0.53\times 4 $

$ =2.12,\text{{ }AA} $



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