The figure given below shows the structure of ATP synthetase with its two parts labelled (A) and (B). Select the part incorrectly matched with its structure/function.
 

• A

  (A) is  ${\mathrm{F}}_0$ and it is integral membrane protein.

• B

  (B) is ${\mathrm{F}}_1$ is a peripheral membrane protein.

• C

  Head piece located towards the matrix side of mitochondria.

• D

  $2{\mathrm{H}}^{+}$ passes through  from the matrix to intermembrane space.