Physics
A water tank appears shallower when it is viewed from top due to

Rectilinear propagation of light
Total internal reflection
Refraction
Reflection

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

He may increase his speed
His weight may be reduced
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

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