Hydrostatic Forces on Surfaces MCQs

Welcome to our comprehensive collection of Multiple Choice Questions (MCQs) on Hydrostatic Forces on Surfaces, a fundamental topic in the field of Fluid Mechanics. Whether you're preparing for competitive exams, honing your problem-solving skills, or simply looking to enhance your abilities in this field, our Hydrostatic Forces on Surfaces MCQs are designed to help you grasp the core concepts and excel in solving problems.

In this section, you'll find a wide range of Hydrostatic Forces on Surfaces mcq questions that explore various aspects of Hydrostatic Forces on Surfaces problems. Each MCQ is crafted to challenge your understanding of Hydrostatic Forces on Surfaces principles, enabling you to refine your problem-solving techniques. Whether you're a student aiming to ace Fluid Mechanics tests, a job seeker preparing for interviews, or someone simply interested in sharpening their skills, our Hydrostatic Forces on Surfaces MCQs are your pathway to success in mastering this essential Fluid Mechanics topic.

Note: Each of the following question comes with multiple answer choices. Select the most appropriate option and test your understanding of Hydrostatic Forces on Surfaces. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

So, are you ready to put your Hydrostatic Forces on Surfaces knowledge to the test? Let's get started with our carefully curated MCQs!

Hydrostatic Forces on Surfaces MCQs | Page 6 of 6

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Q51.
A container is filled with two liquids of densities ρ₁ and ρ₂ up to heights h₁ and h₂ respectively. What will be the hydrostatic force (in kN) per unit width of the lower face AB?

a.

ρ₂g(h₁ + h₂)

b.

ρ₂g(h₁ + \(\frac{h_2}{2}\))

c.

ρ₂g(\(\frac{ρ_1}{ρ_2}\)h₁ + \(\frac{h_2}{2}\))

d.

ρ₂g(\(\frac{ρ_1}{ρ_2}\)h₁ + \(\frac{h_2}{2}\))²

Discuss
Answer: (c).ρ₂g(\(\frac{ρ_1}{ρ_2}\)h₁ + \(\frac{h_2}{2}\))
Q52.
A container is filled with two liquids of densities ρ and 2ρ up to heights h and 2h respectively. What will be the ratio of the total pressure on the lower face AB and on the upper face BC?

a.

1 : 1

b.

3 : 1

c.

2 : 1

d.

3 : 2

Discuss
Answer: (b).3 : 1
Q53.
A container is filled with two liquids of densities ρ and 2ρ up to heights h and eh respectively. What will be the ratio of the depths of the centres of pressure of the upper face BC and the lower face AB?

a.

1 : 2

b.

3 : 4

c.

2 : 3

d.

3 : 2

Discuss
Answer: (c).2 : 3
Q54.
A gate of length 5 m is hinged at A as shown to support a water column of height 2.5 m. What should be the minimum mass per unit width of the gate to keep it closed?

a.

3608

b.

4811

c.

7217

d.

9622

Discuss
Answer: (d).9622
Q55.
A large tank is filled with three liquids of densities ρ₁, ρ₂ and ρ₃ up to heights of h₁, h₂ and h₃ respectively. What will be the expression for the instantaneous velocity of discharge through a small opening at the base of the tank? (assume that the diameter of the opening is negligible compared to the height of the liquid column)

a.

\(\sqrt{2g(h_1 + h_2 + h_3)}\)

b.

\(\sqrt{2g(\frac{ρ_1h_1+2ρ_2h_2+3ρ_3h_3}{ρ_1})}\)

c.

\(\sqrt{2g(\frac{ρ_1h_1+\frac{1}{2}ρ_2h_2+\frac{1}{3}ρ_3h_3}{ρ_2})}\)

d.

\(\sqrt{2g(\frac{ρ_1h_1+ρ_2h_2+ρ_3h_3}{ρ_3})}\)

Discuss
Answer: (d).\(\sqrt{2g(\frac{ρ_1h_1+ρ_2h_2+ρ_3h_3}{ρ_3})}\)
Q56.
A large tank of height h is filled with a liquid of density ρ. A similar tank is half-filled with this liquid and other-halffi lled with another liquid of density 2ρ as shown. What will be the ratio of the instantaneous velocities of discharge through a small opening at the base of the tanks? (assume that the diameter of the opening is negligible compared to the height of the liquid column in either of the tanks)

a.

2 : 3

b.

2 : √3

c.

√2 : 3

d.

√2 : √3

Discuss
Answer: (d).√2 : √3
Q57.
A large tank of height h is half-filled with a liquid of density ρ and other half-filled with a liquid of density 4ρ. A similar tank is half-filled with a liquid of density 2ρ and other-half filled with another liquid of density 3ρ as shown. What will be the ratio of the instantaneous velocities of discharge through a small opening at the base of the tanks? (assume that the diameter of the opening is negligible compared to the height of the liquid column in either of the tanks)

a.

1 : 1

b.

1 : 2

c.

2 : 1

d.

1 : 3

Discuss
Answer: (a).1 : 1
Q58.
A large tank is filled with three liquids of densities ρ, 2ρ and 3ρ up to a height of h ⁄ 3 each. What will be the expression for the instantaneous velocity of discharge through a small opening at the base of the tank? (assume that the diameter of the opening is negligible compared to the height of the liquid column)

a.

\(\sqrt{gh}\)

b.

\(\sqrt{2gh}\)

c.

\(2\sqrt{gh}\)

d.

\(4\sqrt{gh}\)

Discuss
Answer: (c).\(2\sqrt{gh}\)
Q59.
A large tank is filled with three liquids of densities ρ, 2ρ and 3ρ up to heights of h ⁄ 6, h ⁄ 3 and h ⁄ 2 respectively. What will be the ratio of the instantaneous velocity of discharge through a small opening at the base of the tank in this case to that if the container is filled with the liquid of density ρ only? (assume that the diameter of the opening is negligible compared to the height of the liquid column)

a.

\(\sqrt{2} : \sqrt{3}\)

b.

\(\sqrt{4} : \sqrt{3}\)

c.

\(\sqrt{7} : \sqrt{4}\)

d.

\(\sqrt{7} : \sqrt{3}\)

Discuss
Answer: (d).\(\sqrt{7} : \sqrt{3}\)
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