A large hemispherical water tank of radius R is filled with water initially upto a height h=(R)/(2) . The water starts dripping out through a small orifice of cross section area 'a' at its spherical bottom. The time

Correct answer: C. t=(17 π R^2)/(60 a) (R)/(g) No Solution

Olympiad workbook

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Subject: NSEP
Chapter: Mechanical Properties of Fluids

Olympiad workbook · NSEP · Mechanical Properties of Fluids

A large hemispherical water tank of radius R is filled with water...

A large hemispherical water tank of radius

R

is filled with water initially upto a height

h=\frac{R}{2}

. The water starts dripping out through a small orifice of cross section area 'a' at its spherical bottom. The time taken to get the tank completely empty (neglect viscosity) is

Options

A $t=\frac{19 \pi R^2}{60 a} \sqrt{\frac{R}{g}}$
B $t=\frac{3 \pi R^2}{10 a} \sqrt{\frac{R}{g}}$
C $t=\frac{17 \pi R^2}{60 a} \sqrt{\frac{R}{g}}$
D $t=\frac{\pi R^2}{4 a} \sqrt{\frac{R}{g}}$

Correct answer

C. $t=\frac{17 \pi R^2}{60 a} \sqrt{\frac{R}{g}}$

Step-by-step solution

No Solution

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