In an arbitrary molecule XY, the distance between the nuclei of X and Y is 2.4 Å. If the mass of X is 23 times the mass of Y, then what will be the distance of centre of mass from X atom?

Solution

Let m be the mass of atom Y.
Therefore, the mass of atom X will be 23m.
Distance of the centre of mass from atom X is given by,

straight r subscript straight x equals fraction numerator rm subscript straight y over denominator straight m subscript straight x plus straight m subscript straight y end fraction equals fraction numerator rm over denominator 23 straight m plus straight m end fraction equals 1 over 24 straight r space space space space equals fraction numerator 2.4 over denominator 24 end fraction straight A with dot on top space equals space 0.1 straight A with dot on top space therefore space space space space space space space space space space space space straight r subscript straight x equals 0.1 straight A with dot on top

Some More Questions From Units and Measurement Chapter

For Daily Free Study Material Join wiredfaculty