Question
Download Solution PDFकिसी परमाणु के आयतन और नाभिक के आयतन का अनुपात (परिमाण के क्रम के संदर्भ में) है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
चूंकि परमाणु को गोलाकार माना जाता है, इसलिए परमाणु के आयतन की गणना करने का सूत्र निम्न है
- \(V_a=\frac{4}{3}\pi r_a^3\)
- परमाणु की त्रिज्या \(r_a=10^{-10}m\) है।
फिर, नाभिक को आकार में गोलाकार भी माना जाता है, इसलिए नाभिक के आयतन की गणना करने का सूत्र निम्न है
- \(V_n=\frac{4}{3}\pi r_n^3\)
- नाभिक की त्रिज्या \(r_n=10^{-15}m\) है।
स्पष्टीकरण:
\(V_a=\frac{4}{3}\pi r_a^3=\frac{4}{3}\pi (10^{-10})^3\)
\(V_n=\frac{4}{3}\pi r_n^3=\frac{4}{3}\pi (10^{-15})^3\)
\(\frac{V_a}{V_n}=\frac{\frac{4}{3}\pi (10^{-10})^3}{\frac{4}{3}\pi (10^{-15})^3}\)
\(\frac{V_a}{V_n}=\frac{\frac{4}{3}\pi (10^{-30})}{\frac{4}{3}\pi (10^{-45})}\)
\(\frac{V_a}{V_n}=10^{15}\)
अतः, सही उत्तर विकल्प-3-\(10^{15}\) है।
Last updated on Jun 19, 2025
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