To explain the fact that light travels in a straight line assuming light as a wave physicist said that it has small wavelength. So how does the small wavelength explains the property?
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It does not.
Neglecting huge gravitational fields (e.g. black holes), which distort even the traveling path of light, a light wave propagates in a straight line.
The "wave" part is expressed in the electric and magnetic field of the light beam/pulse, but these two fields oscillate in the plane transverse to the propagation direction.
Lastly, the wavelength only describes how fast these fields oscillate or - using another terminology - how big the period of the field wave is or - using yet another terminology - how far the light has traveled until the field waves begin to repeat themselves.
George713
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