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IIT - JEE Mains Worksheets

1.

** **A force of 98 N is require to just start moving a body of mass 100 kg over ice. The coefficient of static friction is

1.

A 0.6

2.B 0.01

3.C 0.001

4.D 0.1

2.

An air bubble in a water tank rises from the bottom to the top. Which of the following statements are true?

1.

(A) Bubble rises upwards because pressure at the bottom is less than that at the top.

2.(B) Bubble rises upwards because pressure at the bottom is greater than that at the top

3.(C) As the bubble rises, its size increases.

4.(D) As the bubble rises, its size decreases

3.

** 1.**In a hydraulic lift, used at a service station the radius of the large and small piston are in the ratio of 20:1. What weight placed on the small piston will be sufficient to lift a car of mass 1500 kg ?

1.

(A) 3.75 kg

2.(B) 37.5 kg

3.(C) 7.5 kg

4.(D) 75 kg

4.

Liquid water of mass 10Kg at temperature 20ºC is mixed with 2 Kg of ice at -5ºC till equilibrium is reached at 1atm pressure. Find the entropy change of the system . Given Cp of ice = 2.09KJ/KgK and latent heat of fusion of ice = 334 KJ/Kg.

1.

106.7 J/K

2.107.8 J/K

3.105.5 J/K

4.104.5 J/K

5.

1 Kg of oxygen at 1 bar and 450 K is mixed with 1 Kg of hydrogen at the same temperature and pressure by removing the diaphram . Determine the loss in availability if the surrounding temperature is 300 K assume that the system is fully insulated.

1.

280.69KJ

2.296.4KJ

3.274.6KJ

4.291.36KJ

6.

3 kg of a gas (Cv= 0.81 KJ/kgK) initially at 2.5 bar and 300 K, contained in a rigid container , recieves 600KJ of heat from an nfinite source at 1100 K . If the surrounding temperature is 290 K , find the loss in available energy due to above heat transfer.

1.

151.42KJ

2.146.89KJ

3.181.85KJ

4.141.25KJ

7.

Two vessels A and B , each of volume 3 m³ may be connected by a tube of negligibe volume. Vessel A contains air at 0.7 MPa , 95ºC while vessel B contains air at 0.35 MPa , 205ºC . Find the change in entropy when A and B are connected assuming the two vessels are completely insulated.

1.

0.947KJ/k

2.0.962KJ/k

3.0.627KJ/k

4.0.944KJ/k

8.

A heat pump with a COP of 2.4 is used to heat a house. When running, the heat pump consumes 8 KW of electric power . If the house is loosing heat to the outside at an average rate of 40,000KJ/hr and the temperature of the house is 3ºC when the heat pump is turned on , determine how long it will take for the temperature to rise to 22ºC . Assume the house is well sealed and take the entire mass within the house to be equivalent to 2000 kg of air ,

1.

2215sec

2.3473sec

3.4187sec

4.3373sec

9.

An evacuated bottle is fitted with a valve through which air from the atmosphere at 780 mm of Hg, 25ºC is allowed to flow slowly to fill the bottle . If no heat is transferred to or from the air in the bottle , what will be its temperature when the pressure in the bottle is 780 mm of Hg,

1.

25ºC

2.58.6ºC

3.144.2ºC

4.81.2ºC

10.

An insulated tank initially contains 0.25kg of a gas with an internal energy of 200KJ/kg. Additional gas with an internal energy of 300KJ/kg and an enthalpy of 400KJ/kg enters the tank untill the total mass of the gas contained is 2 kg. The final internal energy (in KJ/kg) of the gas in the tank is

1.

500

2.575

3.750

4.825

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