46. The SI unit of kinematic viscosity v is

1. 1. m²/s

   
   
   

   2. kg/ms

   
   
   

   3. m/s²

   
   
   

   4. m³/s²

   
   
   

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   Kinematic Viscosity:
   

   v =		Dynamic viscosity	=	μ
   		Density		ρ

   
   

   v =		μ	=	Ns / m²
   		ρ		kg / m3

   
   

   =		kg.m	×	s	×	1
   		s²		m²		kg / m3

   
   = m²/s

   Correct Option: A

   Kinematic Viscosity:
   

   v =		Dynamic viscosity	=	μ
   		Density		ρ

   
   

   v =		μ	=	Ns / m²
   		ρ		kg / m3

   
   

   =		kg.m	×	s	×	1
   		s²		m²		kg / m3

   
   = m²/s

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47. Match List-I with List-II and select the correct answer using the codes given below the lists:
    List-I
    P. Centrifugal compressor
    Q. Centrifugal pump
    R. Pelton wheel
    S. Kaplan turbine
    List-II
    1. Axial flow
    2. Surging
    3. Priming
    4. Pure impulse enter codes:

1. 1. P Q R S
      2 3 4 1

   
   
   

   2. P Q R S
      2 3 1 4

   
   
   

   3. P Q R S
      3 4 1 2

   
   
   

   4. P Q R S
      1 2 3 4

   
   
   

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   Kaplan – Axial flow Pelton – Impulse type

   Correct Option: A

   Kaplan – Axial flow Pelton – Impulse type

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48. A phenomenon is modeled using-n dimensional variables with k primary dimensions. The number of non-dimensional variables is

1. 1. k

   
   
   

   2. n

   
   
   

   3. n - k

   
   
   

   4. n + k

   
   
   

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   NA

   Correct Option: C

   NA

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49. The parameters which determines the friction factor for turbulent flow in a rough pipe are

1. 1. Froude number and relative roughness

   
   
   

   2. Froude number and Mach number

   
   
   

   3. Reynolds number and relative roughness

   
   
   

   4. Mach number and relative roughness

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: C

   NA

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50. A test is conducted on a one-fifth scale model of a Francis turbine under a head of 2 m and volumetric flow rate of 1 m³/s at 450 rpm. Take the water density and the acceleration due to gravity as 10³ kg/m³ and 10 m/s², respectively. Assume no losses both in model and prototype turbines. The power (in MW) of a full sized turbine while working under a head of 30 m is _______ (correct to two decimal places).

1. 1. 29.25

   
   
   

   2. 30.26

   
   
   

   3. 29.05

   
   
   

   4. 29

   
   
   

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1. View Hint View Answer Discuss in Forum

   	Dm	=	1
   	Dp		5

   
   Model: H = 2 m, Q = 1 m³ /s
   Prototype: H = 30 m, P =?
   N = 450 rpm, ρ = 1000 kg/m³ /g = 10 m/s²
   For model, pm = ρgQH = 1000 × 10 × 1 × 2 = 20 kW
   
   = 29045.24 kW
   = 29.05 mW

   Correct Option: C

   	Dm	=	1
   	Dp		5

   
   Model: H = 2 m, Q = 1 m³ /s
   Prototype: H = 30 m, P =?
   N = 450 rpm, ρ = 1000 kg/m³ /g = 10 m/s²
   For model, pm = ρgQH = 1000 × 10 × 1 × 2 = 20 kW
   
   = 29045.24 kW
   = 29.05 mW

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