Fluid MechanicsHard
Question
A candle of diameter d is floating on a liquid in a cylindrical container of diameter D (D > > d) as shown in figure. If it is burning at the rate of 2cm/hour then the top of the candle will : -
Options
A.Remain at the same height
B.Fall at the rate of 1cm/hour
C.Fall at the rate of 2cm/hour
D.go up the rate of 1cm/hour
Solution
First hint: Mid point of the candle will remain balance at the surface of water.Assuming melted wax detached from the candle.
Approach:- As from shown figure we can observe:
Mg(mass of candle) = ρwater .g.L.A (A = area of cross section)
ρwater = 2.ρWAX
Thus the candle will come out of water with 1cm/hr as 2cm/hr is burning
∴ Top of candle will reduce = burning rate - uplifting rate
1cm/hr
Create a free account to view solution
View Solution FreeMore Fluid Mechanics Questions
Water (density r) is flowing through the uniform tube of cross-sectional area A with a constant speed v as shown in the ...A beaker with a liquid of density 1.4 g cm-3 is in balance over one pan of a weighing machine as shown in the figure. If...When a tension F is applied in uniform wire of length l and radius r, the elongation produced is e.When tension 2F is ap...Surface tension of a liquid is 5 N/m. If its thin film is made in a ring of area 0.02 m2, then its surface energy will b......