The correct answer is that the H zone becomes narrower.
The H-band refers to the region of the thick filaments, which is not overlaid by the actin (thin filaments). Within the H-zone is a thin M-line, which is formed of cross-connecting components of the cytoskeleton.
At the time of muscle contraction, the A-bands do not vary in their length, whereas the H-zone and the I-bands shorten. This makes the Z-lines come near to each other.