Physics
The reason for a swimming pool to appear less deep than the actual depth is

Interference
Light scattering
Reflection
Refraction

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Physics
A cyclist leans inwards when he is negotiating a curve so that

Necessary centripetal force may be available from the horizontal component of the normal reaction due to the track to maintain the curved motion.
No frictional force may be produced between the wheels and the axle
His weight may be reduced
He may increase his speed

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