The distance between the centres of carbon and oxygen atoms in the carbon monoxide molecule is 1.130 mathringA . Locate the centre of mass of Ac molecule relative to the carbon atom:

Question

The distance between the centres of carbon and oxygen atoms in the carbon monoxide molecule is 1.130 mathringA . Locate the centre of mass of Ac molecule relative to the carbon atom: (A)  5.428 mathringA (B)  1.130 mathringA (C)  0.6457 mathringA (D)  0.3260 mathringA

Tardigrade Admin · Accepted Answer

xCM=(m1x1+m2x2/m1+m2) ∴ xCM=((12× 0)+(16× 1.13)/12+16)=0.6457 mathringA

Q. The distance between the centres of carbon and oxygen atoms in the carbon monoxide molecule is $1.130 \overset{˚}{A}$ . Locate the centre of mass of Ac molecule relative to the carbon atom:

$5.428 \overset{˚}{A}$

$1.130 \overset{˚}{A}$

$0.6457 \overset{˚}{A}$

$0.3260 \overset{˚}{A}$

none of these

$x_{CM} = \frac{m _{1} x _{1} + m _{2} x _{2}}{m _{1} + m _{2}}$
$∴$ $x_{CM} = \frac{( 12 \times 0 ) + ( 16 \times 1.13 )}{12 + 16} = 0.6457 \overset{˚}{A}$

Q. The distance between the centres of carbon and oxygen atoms in the carbon monoxide molecule is 1.130A˚ . Locate the centre of mass of Ac molecule relative to the carbon atom:

5.428A˚

1.130A˚

0.6457A˚

0.3260A˚