A) \[{{10}^{10}}\]
B) \[{{10}^{15}}\]
C) \[{{10}^{1}}\]
D) \[{{10}^{5}}\]
Correct Answer: B
Solution :
| Radius of atom \[\approx \,\,{{10}^{-10}}\,m\] |
| Radius of nucleus \[\approx \,\,{{10}^{-15}}\,m\] |
| Ratio of volume of atom to volume of nucleus |
| \[=\frac{\text{volume}\,\text{of}\,\text{atom}}{\text{volume}\,\text{of}\,\text{nucleus}}\] |
| \[=\frac{\frac{4}{3}\pi r_{1}^{3}}{\frac{4}{3}\pi r_{2}^{3}}\] |
| \[={{\left( \frac{{{10}^{-10}}}{{{10}^{-15}}} \right)}^{3}}={{10}^{15}}\] |
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