Which statements about floating ice and objects embedded in ice are correct under ideal conditions?

Select all that apply

• Option A

  Pure ice floating in pure water does not change the water level after melting.

• Option B

  If a dense iron piece is embedded in floating ice and sinks after the ice melts, the final water level is lower.

• Option C

  If a light cork piece is embedded in floating ice and remains floating after the ice melts, the final water level remains unchanged.

• Option D

  Ice floating in a liquid denser than water can produce a rise in liquid level after melting into water, if mixing-volume change is neglected.