Physics
A parallel-plate capacitor,with air in between the plates, has capacitance C. Now the space between the two plates of the capacitor is filled with a dielectric of dielectric constant 7. Then the value of the capacitance will become

C/7
14C
C
7C

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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.
He may increase his speed
No frictional force may be produced between the wheels and the axle
His weight may be reduced

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Physics
An egg sinks in soft water but floats in a concentrated solution of salt because

Egg absorbs salt from the solution and expands
Water has high surface tension
Albumin dissolves in salt solution and egg becomes lighter
The density of salt solution exceeds the density of eggs

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