Which statements are correct for a thin needle carefully resting on a liquid surface without breaking it?

Select all that apply

• Option A

  A needle denser than the liquid may still remain supported at the surface.

• Option B

  Vertical components of surface-tension forces may contribute to supporting the needle.

• Option C

  Adding detergent can make the needle more likely to sink because detergent generally reduces surface tension.

• Option D

  The supporting mechanism must necessarily be pure Archimedean buoyancy with no contribution from surface tension.