हाइड्रोजन परमाणु की आंतरिक कक्षा की त्रिज्या 5.3 × 10-11 m है। n = 2 कक्षा की त्रिज्या निम्न है:

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  1. 1.06 × 10-10 m
  2. 2.12 × 10-10 m
  3. 10.6 × 10-10 m
  4. 21.2 × 10-10 m

Answer (Detailed Solution Below)

Option 2 : 2.12 × 10-10 m
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दिया गया है:

हाइड्रोजन परमाणु की सबसे भीतरी कक्षा की त्रिज्या\(r_0=5.3\times10^{-11}m\)

मान लीजिए \(r_2 \) , n=2 पर कक्षा की त्रिज्या है।

संकल्पना:

हाइड्रोजन परमाणु की सबसे बाहरी कक्षा की त्रिज्या इस प्रकार दी गई है

  • \(r_{n}=n^2r_0\)

 

स्पष्टीकरण​:

कक्षा n=2 में त्रिज्या इस प्रकार ज्ञात की जा सकती है,

\(r_{n}=n^2r_0\)

\(r_2=(2)^2r_0\)

\(r_2=4\times5.3\times10^{-11}\)

\(r_2=21.2\times10^{-11}m=2.12\times10^{-10}m\)

अतः, सही उत्तर विकल्प-2 \(r_2=2.12\times10^{-10}m\) है।

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