Physics
In a railway track, two rails are joined end to end with a gap in between them because

Accidents due to contraction in winter can be avoided
Air-gaps are necessary for bearing the weight of running train
Steel can be saved
Accidents due to expansion in summer can be avoided

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Physics
A stone floor feels cold to the bare feet but a carpet on the same floor feels warm. This is because

The floor and carpet are at different temperatures
The carpet is a better conductor of heat than the stone
The human body maintains a constant temperature
The stone conveys the heat away from the feet more rapidly than the carpet

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