The discharge through a wholly drowned orifice is given by (where H<sub>1</sub> = Height of water (on the upstream side) above the top of the orifice, H<sub>2</sub> = Height of water (on the downstream side) above the bottom of the orifice and H = Difference between two water levels on either side of the orifice)

The discharge through fully submerged orifice is - Where, H = Difference in level of water H1 = Height of water above the top of the orifice on the upstream side H2 = Height of water above the bottom of the orifice

A

${c_d} \times b \times \left( {{H_2} - {H_1}} \right) \times \sqrt {2gH} $

B

${c_d} \times b \times \left( {\;H_2^{\frac{3}{2}} - H_1^{\frac{3}{2}}} \right) \times \sqrt {2gH} $

C

None of these

D

${c_d} \times b \times \left( {\;{H_2} - {H_1}} \right) \times \sqrt {2g} \times {H^{\frac{3}{2}}}$

Find the discharge through totally drowned orifice of width 2.3 m if the difference of water levels on both side of the orifice be 40 cm. The height of water from to and bottom of the orifice are 2.6 m and 2.75 m respectively.

A

.56 m3/s

B

.64 m3/s

C

.75 m3/s

D

.55 m3/s

Find the discharge through totally drowned orifice of width 3.3 m if the difference of water levels on both side of the orifice be 50 cm. The height of water from to and bottom of the orifice are 2.25 m and 2.67 m respectively.

A

2.8 m3/s

B

2.7 m3/s

C

2.6 m3/s

D

2.5 m3/s

The discharge through a large rectangular orifice is given by (where H₁ = Height of the liquid above the top of the orifice, H₂ = Height of the liquid above the bottom of the orifice, b = Breadth of the orifice and C_d = Coefficient of discharge)

A

$${\text{Q}} = \frac{2}{3} \times {{\text{C}}_{\text{d}}} \times {\text{b}}\sqrt {2{\text{g}}} \left( {{{\text{H}}_2} - {{\text{H}}_1}} \right)$$

B

$${\text{Q}} = \frac{2}{3} \times {{\text{C}}_{\text{d}}} \times {\text{b}}\sqrt {2{\text{g}}} \left( {{\text{H}}_2^{\frac{1}{2}} - {\text{H}}_1^{\frac{1}{2}}} \right)$$

C

$${\text{Q}} = \frac{2}{3} \times {{\text{C}}_{\text{d}}} \times {\text{b}}\sqrt {2{\text{g}}} \left( {{\text{H}}_2^{\frac{3}{2}} - {\text{H}}_1^{\frac{3}{2}}} \right)$$

D

$${\text{Q}} = \frac{2}{3} \times {{\text{C}}_{\text{d}}} \times {\text{b}}\sqrt {2{\text{g}}} \left( {{\text{H}}_2^2 - {\text{H}}_1^2} \right)$$

If the sum of the total time taken by boats X1 to travel D km each upstream and X2 to travel downstream is 4 hours and the sum of the total time taken by boats X1 to travel downstream and X2 to travel upstream the same distance D km each is 12 hours. Time taken by X2 to travel upstream exceeds its downstream time by t1 hours. Similarly, the time taken by X1 to travel upstream exceeds its downstream time by t2 hours. What is the value of (t1 - t2)?

A

2

B

4

C

6

D

8

A rectangular orifice of 2 m width and 1.2 m deep is fitted in one side of large tank. The easier level on one side of the orifice is 3m above the top edge of the orifice while on the other side of the orifice the water level is 0.5 m below it’s top edge. Calculate discharge if Cd = .64

A

4.95 m3/s

B

5.67 m3/s

C

3.56 m3/s

D

6.75 m3/s

Questions below followed by two quantities. Find the relation between them. The table shows the distance travelled by five different boats upstream, the speed of the boat in still water and the time taken by them to cover the upstream distance. Boats Upstream distance Speed of boat Time taken A 240 km 15 km/hr 20 hr B 150 km 10 km/hr 25 hr C 350 km 20 km/hr 50 hr D 96 km 8 km/hr 16 hr E 126 km 26 km/hr 9 hr Quantity I: Boat B travel 238 km distance downstream in certain time. How much downstream distance boat D will cover at the same time? Quantity II: Boat E travel 722 km distance downstream in certain time. How much downstream distance boat A will cover at the same time?

A

Quantity I > Quantity II

B

Quantity I ≥ Quantity II

C

Quantity I ≤ Quantity II

D

Quantity I < Quantity II

E

Quantity I = Quantity II

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: The ratio of speed of boat to speed of stream is 2 : 1, If the boat travels 162 km and come back to starting point in 36 hour. What is the difference between the time taken by the boat to go upstream and the time taken by the boat to go downstream? Quantity B: The speed of the stream is 6 km/hr and the distance travelled by the boat is 60 km. If the boat covered half distance upstream with usual speed and other half with double its speed, then it takes 7.5 hours less time than usual time to go upstream. Find the total time taken by the boat to go upstream and downstream?

A

Quantity A > Quantity B

B

Quantity A < Quantity B

C

Quantity A = Quantity B

D

Quantity A ≤ Quantity B

E

Quantity A ≥ Quantity B

What is the distance covered by boat N upstream in 5 hours? Which of the following option is sufficient alone to find the answer? A) Boat M is travelling downstream with 20% more downstream speed of boat N. Speed of boat M in still water is 10% more than the speed of boat N in still water. B) Boat M and Boat N are travelling downstream with speed 33 km/hr and 40 km/hr respectively and speed of boat M is still water is 2 times the speed of stream. C) Speed of boat M in still water is 6 km/hr less then speed of boat N in still water and speed of stream is 10 km/hr. D) Speed of stream is ½ times the speed of boat N in still water and downstream speed of boat M is 44 km/hr. E) Speed of stream is 10 km/hr and ratio of upstream speed of boat M and boat N is 3 : 2 respectively.

A

Only A and B

B

Only B and C

C

Only B

D

All A, B, C and D

E

None of A, B, C and D

The discharge through a small rectangular orifice is given by (where Cd = Coefficient of discharge for the orifice, a = Cross-sectional area of the orifice, h = Height of the liquid above the centre of the orifice)

A

Q = Cd × a × 2gh

B

Q = (2/3). Cd × a × h

C

Q = (Cd × a)/√(2gh)

D

Q = (3Cd × a)/√(2h)

The discharge through a wholly drowned orifice is given by (where H₁ = Height of water (on the upstream side) above the top of the orifice, H₂ = Height of water (on the downstream side) above the bottom of the orifice and H = Difference between two water levels on either side of the orifice)

Related Questions

The discharge through a wholly drowned orifice is given by (where H1 = Height of water (on the upstream side) above the top of the orifice, H2 = Height of water (on the downstream side) above the bottom of the orifice and H = Difference between two water levels on either side of the orifice)

Related Questions

The discharge through a wholly drowned orifice is given by (where H₁ = Height of water (on the upstream side) above the top of the orifice, H₂ = Height of water (on the downstream side) above the bottom of the orifice and H = Difference between two water levels on either side of the orifice)