In a rectangular channel, there occurs a jump corresponding to Fr1 = 2.5. Then the critical depth expressed in terms of initial depth y1 is:

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JKPSC Lecturer Paper I Civil 2022 Official Paper
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  1. 1.84 y1 
  2. 3.07 y1 
  3. 15.63 y1 
  4. 6.25 y1 

Answer (Detailed Solution Below)

Option 1 : 1.84 y1 
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Detailed Solution

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Explanation:

Fraud number is given by

  ........ (1)

Discharge per unit width (q) is given by

q = V1 × y1

Substituting V1 from the above equation, we get

V1 = Fr1√gy1

   ........ (2)

Now, we know that, critical depth for rectangular channel is given by

Putting q from equation 2 in the above equation, we get yc as

Putting Fr1 as 2.5 in the above equation, we get

yc = (2.5)2/3 × y1 = 1.84 × y1

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