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What's fog? Fog is caused by the condensation of water molecules in air. This leads to the increase in the density in air. So, the layman answer can be: Velocity of sound is greater in Denser materials, so during fog velocity of sound is greater. Mathematicaly: v2=Bulk modulus/density
=stress/strain*density
we can say stress due to sound wave normally and in fog is constant.
Therefore, v2 is inversely proportional to strain*density.
during fog this value is less than normal, that's why velocity of sound wave in fog is greater.
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