The ratio of the discharge over a trapezoidal crest to a rectangular crest of Sarda falls of identical parameters, is

The discharge over the trapezoidal notch is equal to the discharge over the rectangular notch __________ the discharge over the triangular notch.

A

Plus

B

Minus

C

Divide

D

None of these

Two centrifugal pumps P and R are available for use in a pipe flow system and their head-discharge characteristics are as follows. Pump P Pump R Discharge (cumecs) Head (m) Discharge (cumecs) Head (m) 0 40 0 45 0.12 35 0.14 40 0.2 28 0.24 35 0.3 18 0.3 28 The following statements (S1, S2, and S3) pertain to the head and discharge values during actual operation. Neglect losses in the system. Which of the following statements are correct? S1: When the two pumps P and R are connected in parallel, the discharge is 0.36 cumecs corresponding to a head of 35 m. S2: When the two pumps P and R are connected in parallel, the discharge is 0.36 cumecs corresponding to a head of 70 m. S3: When the two pumps P and R are connected in series, the discharge is 0.3 cumecs corresponding to a head of 46 m.

A

S2 only

B

S1 and S3

C

S1 and S2

D

S2 and S3

In a Sarda type fall, the rectangular crest, may be used for discharge up to

A

6 cumecs

B

10 cumecs

C

14 cumecs

D

20 cumecs

If H and d are the water depth and drop in the bed level at a Sarda fall, the width B of the trapezoidal crest, is given by

A

$${\text{B}} = 0.22\sqrt {{\text{H}} + {\text{d}}} $$

B

$${\text{B}} = 0.33\sqrt {{\text{H}} + {\text{d}}} $$

C

$${\text{B}} = 0.44\sqrt {{\text{H}} + {\text{d}}} $$

D

$${\text{B}} = 0.55\sqrt {{\text{H}} + {\text{d}}} $$

Meera is the wife of Sachin. Sachin's sister is Sarda and she is the wife of Arjun. Arun is the son of Sarda. Arjun is the brother of Meera. Sonali is the daughter of Arjun. How is Arun related Sonali?

A

Father

B

Brother

C

Cannot be determined

D

Paternal uncle

Har Bilas Sarda was instrumental in the passage of the famous Sarda Act of 1930, which provided for

A

enforcing monogamy

B

removal of restrictions on intercaste marriages

C

penalisation of parties to a marriage in which the girl was below 14 or the boy was below 18 years of age

D

civil marriages

Statement (I): The ogee spillway is a control weir having an S-shaped crest profile which provides a high discharge coefficient without causing cavitations. Statement (II): The crest profile of ogee spillway conforms to the lower nappe of flow over a ventilated sharp-crested weir and ensures a constant discharge coefficient for all heads.

A

Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)

B

Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)

C

Statement (I) is true but Statement (II) is false

D

Statement (I) is false but Statement (II) is true (II) is true:

The discharge passing over an ogee spillway is given by (where, L is effective length of spillway crest and H is the total head over the spillway crest including velocity head.)

A

$${\text{CL}}{{\text{H}}^{\frac{3}{2}}}$$

B

$${\text{CH}}{{\text{L}}^{\frac{3}{2}}}$$

C

$${\text{CL}}{{\text{H}}^{\frac{5}{2}}}$$

D

$${\text{CL}}{{\text{H}}^{\frac{1}{2}}}$$

When the crest of one wave falls on the crest of the second wave, and trough of one wave falls on the trough of the second wave, this phenomenon is called

A

Destructive interference

B

Constructive interference

C

Diffraction

D

Population Inversion

Simplify : $${{{5 \over 3} \times {7 \over {51}}{\text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{\text{ of }}{{28} \over 5} - {2 \over 3}}}$$

A

$$\frac{1}{2}$$

B

4

C

2

D

$$\frac{1}{4}$$

The ratio of the discharge over a trapezoidal crest to a rectangular crest of Sarda falls of identical parameters, is

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