Explanation
capillarity will not take place when the liquid is at its boiling point, the liquid is at its freezing point and the angle of contact is00
h=2Tcosθrρghαcosθfor θ=600cosθ=12∴ h is double ⇒h=6cm.
Viscosity of gas increase with increase in temperature as randomness in molecules increases and number of collisions also increase, while that of a liquid decrease as molecules move away from each other making it less viscous.If density of sphere equal that of liquid, the two forces itself balance immedeatly leading to zero terminal velocity.
Applying Bernoulli's principle when the pipe was closed and after it was opened,⇒P1=P2+12ρV2⇒3.5×105=3×105+12ρV2⇒0.5×105×2103=V2⇒102=V2⇒V=10m/s
Decreases in pressure105m\ apart=1500paenergy cost per unit volume per unit distance=1500×105A105×A×105=workdonelenght×totalvolume=0.015 joules
Velocity of water from the bottom operture =√2gh =√2×9.8×10m/sSo,
Q=26.4m3=πr2V⇒26.4m3=π×r2v⇒26.460m3/s=πr2×√2×9.8×10⇒r2=0.010004024⇒r=0.1m
So, Diameter of aperture =0.2 m
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