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Question

Physics Question on Atoms

Atomic weight of Boron is 10.81 and it has two isotopes 5B10_5B^{10} and 5B11 _5B^{11} Then the ratio of 5B10:5B11_5B^{10} :_5B^{11} in nature would be

A

0.636111111

B

0.424305556

C

0.847916667

D

3.388194444

Answer

0.847916667

Explanation

Solution

Let 5B10_5B^{10} be present as x% and percentage of 5B10_5B^{10} = (100 - x) \therefore \, Average atomic coefficient =10x+11(100x)100=\frac{10x+11(100-x)}{100} =10.81x=19=10.81 \, \Rightarrow \, \, x=19 \therefore % of 5B11_5B^{11} is 100- 19 = 81. Ratio is 19 : 81