A building fetches a rent of Rs. 10,000 annually. After repairing, it will last for 2 years. If the rate of interest on capital is 5% and the co-efficient of annual sinking fund is 0.05, then estimate the capitalized value of the building after 2 years.

A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path is

In an Linear programming problem, the restrictions or limitations under which the objective function is to be optimized are called

Break - even is not affected with changes in

Who among the following conducted a study at Hawthorne, Illinois plant related to human relations school? 

Which one of the following statement about a phase diagram is INCORRECT?

Which one of the following statements is correct for a super-heated vapour ?

The INCORRECT statement about the characteristics of critical point of a pure substance is that

A steel billet of 2000 kg mass is to be cooled from 1250 K to 450 K. The heat released during this process is to be used as a source of energy. The ambient temperature is 303 K and specific heat of steel is 0.5 kJ/kg K. The available energy of this billet is

For a simple compressible systemv, s, p and T are specific volume, specific entropy, pressure and temperature respectively. As per Max-Wells relations is equal to

For an ideal gas with constant properties undergoing a quasi-static process, which one of the following represents the change of entropy from state 1 to 2?

Consider the following two processes; 

निम्नलिखित दो प्रक्रियाओं पर विचार करें;

I.  A heat source at 1200 K loses 2500 kJ of heat to a sink at 800 K

II.  A heat source at 800 K loses 2000 kJ of heat to a sink at 500 K

Which of the following statements is true?

निम्नलिखित बयानों में से कौनसा सही  है?

One kilogram of water at room temperature is brought into contact with a high temperature thermal reservoir. The entropy change of the universe is

system undergoes a state change from 1 to 2. According to the second law of thermodynamics, for the process to be feasible, the entropy change, S₁-S₂ of the system   

A heat engine having an efficiency of 70% is used to drive a refrigerator having a coefficient of performance of 5. The energy absorbed from low temperature reservoir by the refrigerator for each kJ of energy absorbed from high temperature source by the engine is 

A Carnot cycle is having an efficiency of 0.75. If the temperature of the high temperature reservoir is 727°C, what is the temperature of low temperature reservoir?  

The slopes of constant volume and constant pressure lines in the T-S diagram are ______ and ______ respectively.

Round the clock cooling of an apartment having a load of 600 MJ/day requires and air conditioning plant of capacity about

A reversible heat transfer demands

During a non-flow thermodynamic process (1-2), executed by a perfect gas, the heat interaction is equal to the work interaction (Q1-2 = W1-2). When the process is

आदर्श गैसों के मिश्रण में द्रव्यमान द्वारा निम्नलिखित अवयव  होते  है:

A mixture of ideal gases has the following composition by mass:

If the universal gas constant is 8314 J/k molK, the characteristic gas constant of the mixture (in J/kg-K) is ______.

यदि सार्वभौमिक गैस स्थिरांक 8314 J/k molK है, तो मिश्रण का विशिष्ट गैस स्थिरांक (J/kg-K में) ______ है।

For an ideal gas with constant values of specific heats, for calculation of the specific enthalpy,

A mono-atomic ideal gas (molecular weight = 40) is compressed adiabatically from 0.1 MPa, 300 K to 0.2 MPa. The universal gas constant is 8.314 kJ/mol/K. The work of compression of the gas (in Kj/kg) is

A rigid, insulated tank is initially evacuated. The tank is connected with a supply line through which air (assumed to be ideal gas with constant specific heats) passes at 1 MPa, 350°C.

 एक कठोर, इन्सुलेटेड टैंक को शुरू में खाली कर दिया जाता है। टैंक एक आपूर्ति लाइन से जुड़ा हुआ है जिसके माध्यम से वायु  (नियत  विशिष्ट ऊष्मा  के साथ आदर्श गैस मानी जाती है)  1 MPa, 350 डिग्री सेल्सियस पर गुजरती है।

A valve connected with the supply line is opened and the tank is charged with air until the final pressure inside the tank reaches 1 MPa. The final temperature inside the tank

आपूर्ति लाइन से जुड़ा एक वाल्व खोला जाता है और टैंक को तब तक वायु  से चार्ज किया जाता है जब तक कि टैंक के अंदर अंतिम दबाव  1 MPa तक नहीं पहुंच जाता। टैंक के अंदर का अंतिम तापमान होगा 

Which of the following relationships is valid only for reversible processes undergone by a closed system of simple compressible substance (neglect changes in kinetic and potential energy)?

A 100 W electric bulb was switched on  in a 2.5m × 3m × 3m size thermally insulated room having a temperature of 20°C. The room temperature at the end of 24 hours will be

The first law of thermodynamics takes the form W = -ΔH when applied to

A reversible thermodynamic cycle containing only three processes and producing work is to be constructed. The constrains are:

एक प्रतिवर्ती थर्मोडायनामिक चक्र का निर्माण किया जाना है जिसमें केवल तीन प्रक्रियाएं और उत्पादन कार्य शामिल हैं। बाधाएँ हैं:

1. There must be one isothermal process,
2. There must be one isentropic process,
3. The maximum and minimum cycle pressures and the clearance volume are fixed,
4. Polytropic processes are not allowed

Then the number of possible cycles are

तो संभावित चक्रों की संख्या है

The following four figures have been drawn to represent a fictitious thermodynamic cycle, on the P-V and  T-S planes.

P-V  और T-S समतल पर एक काल्पनिक थर्मो-डायनामिक चक्र का प्रतिनिधित्व करने के लिए निम्नलिखित चार आंकड़े तैयार किए गए हैं।

According to the first law of thermodynamics, equal areas are enclosed by

थर्मो-डायनामिक्स के पहले नियम के अनुसार, समान क्षेत्र किसके द्वारा घिरे हैं?

The definition of 1K as per the internationally accepted temperature scale is 

The specific heats of an ideal gas depend on its 

 A 10 m high slope of dry clay soil (unit weight 20kN/m³ ), with a slope angle of 45^o and the circular slip surface, is shown in the figure (not drawn to the scale) . The weight of the slip wedge is denoted by W. The untrained unit cohesion ( C_u )  is 60 kPa

The factor of safety of the slope against slip failure, is

A granular soil has a saturated unit weight of 20kN/m³ and an

effective angle of shearing resistance of  30^o. The unit weight of

water is 9.81kN/m³ A slope is to be made on this soil deposit in which

the seepage occurs parallel to the slope up to the free surface. Under

this seepage condition for a factor of safety of 1.5, the safe slope

angle (in degree) would be

An earthen dam of height H is made of cohesive soil whose cohesion

and unit weight are c and, respectively.  If the factor of

safety against cohesion is F_c ,the Taylor’s stability number  is ( S_n )

While designing a hill road with a ruling gradient of 6%, if a sharp horizontal curve of 50 m radius is encountered, the compensated gradient at the curve as per the Indian Roads Congress (IRC) specification should be

The extra widening required for a two-lane National Highway at a horizontal curve of 300 m radius, considering a wheel base of 8 m and a design speed of 100 km/hr is 

For the construction of a highway, a cut is to be made as shown in the figure

The soil exhibit  c =20kPa ,  and the undrained shear strength = 80 kPa. The unit weight of water is  = 9.81kN/m³. The unit weight of the soil above and below the ground water table are 18 and 20kN/m³, respectively. If the shear stress at point A is 50 kPa, the factors of safety against the shear failure at this point considering the undrained and drained conditions respectively, would be

The infinite sand slope shown in the figure is on the verge of sliding failure. The

ground water = 9.81kN/m³ table coincides with the ground surface. Unit

weight of water, The value of the effective angle of internal friction (in

degrees) is

In friction circle method of slope analysis, if r defines the radius of the slip

circle, the radius of friction circle is

An infinitely long slope is made up of a  soil having the

properties: Cohesion (c) = 20 kPa, and dry unit weight  =

16kN/m³. The angle of inclination and critical height of the slope are

40^o and 5m, respectively. To maintain the limiting equilibrium, the

angle of internal friction of the soil (in degrees) is

A long slope is formed in a soil with shear strength parameters: c = 0 and . A firm stratum lies below the slope and it is assumed that the water table may occasionally rise to the surface, with seepage taking place parallel to the slope. Use  = 18kN/m³  and  = 10kN/m³. The maximum slope angle (in degrees) to ensure a factor of safety of 1.5, assuming a potential failure surface parallel to the slope, would be 

The soil profile above the rock surface at 25^o infinite slope is shown in figure where, S_u is undrain shear stressand is total unit weight. The slip will occur at a depth of

The factor of safety of an infinite soil slope shown in the figure having the properties C = 0,  = 16kN/m³ = 20kN/m³ IS 

At a horizontal curve portion of a 4-lane undivided carriageway, a transition curve is to be introduced to attain required superelevation. The design speed is 60 km/hr and radius of the curve is 245 m. Assume length of wheel base of a longest vehicle as 6 m, super elevation rate as 5% and rate of introduction of this superelevation as 1 in 150. The length of the transition curve (in m) required, if the pavement is rotated about inner edge is

A vehicle moving at 60 km/hr on an ascending gradient of a highway has to come to stop position to avoid collision with a stationary object. The ratio of lag to brake distance is 6:5. Considering total reaction time of the driver as 2.5sec and the coefficient of longitudinal friction as 0.36, the value of ascending gradient (in %) is

A road is having a horizontal curve of 400 m radius on which a super elevation of 0.07 is provided. The coefficient of lateral friction mobilized on the curve when a vehicle is travelling at 100 km/hr is 

The length of summit curve on a two-lane two-way highway depends upon 

The coefficient of friction in the longitudinal direction of a highway is estimated as 0.396. The braking distance for a car moving at a speed of 65 km/hr is 

For a road with camber of 3% and the design speed of 80 km/hr, the minimum radius of the curve beyond which no super elevation is needed is

The design speed for a National Highway is 100 km/hr. If the maximum permissible super elevation is 0.10 and the coefficient of lateral friction is 0.15, the ruling minimum radius of horizontal curve on the highway should be