question_answer

The distance between the centres of carbon and oxygen atoms in the carbon monoxide molecule is \[1.130\overset{\text{o}}{\mathop{\text{A}}}\,\] . Locate the centre of mass of Ac molecule relative to the carbon atom:

A)  \[5.428\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

B)  \[1.130\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

C)  \[0.6457\,\overset{\text{o}}{\mathop{\text{A}}}\,\]      

D)                         \[0.3260\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

E)  none of these

Correct Answer: C

Solution :

\[{{x}_{CM}}=\frac{{{m}_{1}}{{x}_{1}}+{{m}_{2}}{{x}_{2}}}{{{m}_{1}}+{{m}_{2}}}\] \[\therefore \]\[{{x}_{CM}}=\frac{(12\times 0)+(16\times 1.13)}{12+16}=0.6457{\AA}\]