Blow up a balloon & tie it up. Measure its diameter with a measuring tape. Place it in a freezer for at least an hour.Predict what happens to the balloon after some time in the freezer when its diameter is measured again.

The answer given is,"The balloon becomes smaller.Particles lose energy and become closer and the air contracts, causing the balloon to become smaller."

Why won't some water vapour in the balloon condense to give water droplets & freeze to give some ice?

You are quite right. Some of the water in the breath of whoever blew up the balloon may condense on the inner wall of the balloon and reduce the pressure even more than predicted by the ideal gasd law. If the ballon were helium-filled, moisture would not ne a factor.

It it the lower pressure (at reduced temperature) and the elastic tension of of the balloon wall that causes the volume to shrink.

Some water vapor in the balloon may condense and freeze depending on the specific conditions inside the freezer and the amount of moisture in the air. However, it is important to note that the primary reason the balloon becomes smaller is not due to the condensation and freezing of water vapor.

The main reason the balloon becomes smaller in the freezer is because of the decrease in temperature. When the balloon is placed in the freezer, the surrounding air temperature drops significantly. As a result, the particles of air inside the balloon lose thermal energy and slow down. This decrease in energy causes the air particles to move closer together, resulting in a contraction of the air inside the balloon. This contraction causes the balloon to shrink and the measured diameter to decrease.

While some water vapor in the balloon may condense and freeze during this process, it is not the main factor leading to the decrease in balloon size. The primary reason is the reduction in temperature and the subsequent contraction of the air inside the balloon.