# A  path  AB  in  the  form  of  one  quarter  of  a  circle  of unit  radius  is  shown  in  the figure. Integration of (x + y)2  on path AB traversed in a counter-clockwise sense is:

1.  (Π/2)-1

2.  (Π/2) + 1

3.  Π/2

4.   1

4

(Π/2) + 1

Explanation :
No Explanation available for this question

# The  distancebetween the origin and the point nearest to it on the surface z2=1+xy is:

1.  1

2.  √3/2

3.  √3

4.  2

4

1

Explanation :
No Explanation available for this question

# The area enclosed between the curves y2=4x and x2=4y is:

1.   16/3

2.  8

3.  32/3

4.  16

4

16/3

Explanation :
No Explanation available for this question

# The standard deviation of a uniformly distributed random variable between 0 and 1 is:

1.  1/√12

2.  1/√3

3.  5/√12

4.  7/√12

4

1/√12

Explanation :
No Explanation available for this question

# Consider  steady,  incompressible  and  irrotational  flow  through  a  reducer  in  a horizontal pipe where the diameter is reduced from 20 cm to 10 cm . The pressure in the 20cm  pipe just upstream of  the reducer is 150kPa. The fluid has a vapour pressure of  50kPa  and  a  specific  weight of 5 kN/m3. Neglecting frictional effects the  maximum  discharge  (in  m3/s) that  can  pass  through  the  reducer  without causing cavitations is

1.  0.05

2.   0.16

3.  0.27

4.  0.38

4

0.16

Explanation :
No Explanation available for this question

# In a parallel flow heat exchanger operating under steady state, t he heat capacity rates (product  of  specific  heat  at  constant  pressure  and  mass  flow  rate)  of  the hot  and  cold  fluid  are  equal.  The  hot  fluid,  flowing  at  1kg/s with Cp=4kJ/kgK, enters the heat exchanger  at 1020 C while the cold fluid has an inlet  temperature of 15°C.  The overall heat transfer coefficient for the heat exchanger is estimated to be 1kW/m2K and the corresponding heat transfer surface area is 5m2. Neglects heat transfer between the  heat exchanger and t he ambient. The heat exchanger is characterized by the following relation 2ε=1-exp(-2NTU) The exit temperature (in °C) for the cold fluid is

1.  45

2.  55

3.  65

4.  75

4

55

Explanation :
No Explanation available for this question

# In  an  air-standard  Otto  cycle,  the compression  ratio  is 10. The condition at the beginning  of  the  compression  process  is  100kPa  and  27°C.  Heat added at constant volume is 1500kJ/kg, while 700kJ/kg of heat is rejected during the other constant volume process in the cycle. Specific gas constant for air=0.287 kJ/kgK The mean effective pressure (in kPa) of the cycle is

1.  103

2.  310

3.  515

4.  1032

4

1032

Explanation :
No Explanation available for this question

# An  irreversible  heat   engine  extracts  heat  from  a  high  temperature  source  at  a rate  of  100kW  and  rejects heat to a sink  at  a rate  of 50kW.  The entire work output  of  the  heat  engine  is  used  to  drive  a  reversible  heat  pump  operating between a set of independent isothermal heat  reservoirs  at 17°C and 75°C.  The rate (in kW) at which the heat pump delivers heat to its high temperature sink is

1.  50

2.  250

3.  300

4.  360

4

300

Explanation :
No Explanation available for this question

# Water  at  25°Cis flowingthrough a 1.0km long  G.I  pipe  of  200mm  diameter  at the  rate  of  0.07m3/s. If  value  of Darcy friction factor  for  this  pipe  is  0.02  and density of water is 1000kg/m3, the pumping power (in kW) required to maintain the flow is

1.  1.8

2.  17.4

3.  20.5

4.   41.0

4

17.4

Explanation :
No Explanation available for this question

1.  -0.50

2.  2.75

3.  3.75

4.   4.50

4