This set of Fluid Mechanics Multiple Choice Questions & Answers (MCQs) focuses on “Most Economic Circular Section – 2”.

1. Estimate the hydraulic depth for a most economical circular channel section in case of maximum velocity.

a) 0.2D

b) 0.3D

c) 0.4D

d) 0.5D

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2. What is the value of θ in a most economical circular section in case of maximum discharge?

a) 150°

b) 152°

c) 154°

d) 156°

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Explanation: The equation in case for maximum discharge is,

4Ɵ – 6θ cos 2θ + sin 2θ = 0 where θ = 154°.

3. Calculate the depth in a most economical circular section in case of maximum discharge.

a) 0.65D

b) 0.75D

c) 0.85D

d) 0.95D

Answer: d

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4. Calculate the hydraulic radius of a circular channel in case of maximum discharge if the radius of the channel is 4m.

a) 1.7m

b) 2.0m

c) 2.3m

d) 2.6m

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5. Calculate the wetted area of a circular channel section in case of maximum velocity.

a) 5.47m^{2}

b) 6.47m^{2}

c) 7.47m^{2}

d) 8.47m^{2}

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6. Calculate the wetted perimeter of the most economical circular section having radius 3m in case of maximum discharge.

a) 15.12m

b) 16.12m

c) 17.12m

d) 18.12m

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Explanation: P = 2Rθ = 2(3)(2.6864) = 16.12m.

7. What is the value of wetted perimeter of a circular section having radius 6m in case of maximum velocity?

a) 12.47m

b) 13.47m

c) 14.47m

d) 15.47m

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Explanation: P = 2Rθ = 2(6)(2.2460) = 13.47m.

8. Estimate the value of wetted area of a circular section in case of maximum discharge if the radius of the channel is 7m.

a) 134m^{2}

b) 144m^{2}

c) 154m^{2}

d) 164m^{2}

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9. Calculate the hydraulic radius in case of maximum velocity if the radius of the section is 8m.

a) 7.87m

b) 6.87m

c) 5.87m

d) 4.87m

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10. Calculate the discharge through a most economical circular section in case of maximum velocity if the radius of the channel is 0.5m, bed slope of 1 in 500 and the value of n = 0.016.

a) 0.43 m^{3}/s

b) 0.53 m^{3}/s

c) 0.63 m^{3}/s

d) 0.73 m^{3}/s

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**Sanfoundry Global Education & Learning Series – Fluid Mechanics.**

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