Question 1:                                                                            

The coefficient of linear expansion for a material is given by α = 2 × 10^-5 °C^-1. If a rod of this material is heated from 20°C to 100°C, what is the change in its length? (Assume the initial length is L and neglect any thermal expansion in the perpendicular directions.) [Level: Easy]

(a) 2.6 × 10^-3 L

(b) 1.6 × 10^-3 L

(c) 3.33 × 10^-3 L

(d) 1.6 × 10^-9 L

                           

Question 2:                                                                            

A cylindrical rod of length L and radius R is made of a material with thermal conductivity κ. If one end of the rod is maintained at a temperature of T1 and the other end at a temperature of T2, what is the rate of heat transfer through the rod? [Level: Moderate]

(a)

(b)

(c)

(d)

 

Question 3:                                                                            

A copper rod of length L and cross-sectional area A is heated from 20°C to 100°C. If the coefficient of linear expansion for copper is α = 1.7 × 10^(-5) °C^(-1), what is the change in its resistance? (Assume the initial resistance is R and neglect any change in dimensions other than length.) [Level: Moderate]

(a)  

(b)

(c) 2.5

(d)

 

Question 4:                                                                            

A glass plate of area 0.02 m² and thickness 5 mm is subjected to a temperature difference of 50°C. If the thermal conductivity of glass is 1.0 W/m·°C, what is the rate of heat transfer through the plate? [Level: Easy]

(A) 5 W

(B) 10 W

(C) 15 W

(D) 20 W

 

Question 5:                                                                            

An object is initially at a temperature of 100°C is raised to 170°C. If it loses 1000 J of heat energy and its mass is 2 kg, what is the specific heat capacity of the object? [Level: Moderate]

(A) 7.14 J/(kg·°C).

(B) 5.60 J/(kg·°C)

(C) 20.2 J/(kg·°C)

(D) 50 J/(kg·°C)

 

Question 6:                                                                            

A solid cube and a solid sphere made of the same material are heated to the same temperature. Which object will experience greater thermal expansion?

[Level: Moderate]

(a) The cube, because it has more surface area.

(b) The sphere, because it has more volume.

(c) Both objects will expand equally.

(d) It depends on the specific shape of the objects.

 

Question 7:                                                                            

A hole is drilled in a copper sheet. The diameter of the hole is

6.24cm at 37.0^∘C. What is the change in the diameter of the hole when the sheet is heated to 245^∘C? Coefficient of linear expansion of copper =1.70×10⁻⁵K⁻¹. [Level: Hard]

(a) 0.0712

(b) 0.0512

(c) 0.012

(d) 0.0414

 

Question 8:                                                                            

A black body at a temperature of 227^∘C radiates heat energy at the rate 5cal/cm²/s. At a temperature of 727^∘C, the rate of heat radiated per unit area in cal/cm² will be: [Level: Moderate]

(a) 1356 cal/cm²/s

(b) 1300 cal/cm²/s

(c) 1500 cal/cm²/s

(d) 2567 cal/cm²/s

 

Question 9:                                                                            

An ideal black body emits radiations at the rate of 9.87watt/cm². It

temperature will be  [Level: Moderate]

(a) 251 K

(b) 19.2 K

(c) 270 K

(d) 254 K

 

Question 10:                                                                           

Which of the following statements about the triple point is correct?

[Level: Easy]

(a) It represents the temperature at which a substance can exist in all three phases simultaneously.

(b) It represents the temperature at which a substance can only exist in the liquid phase.

(c) It represents the temperature at which a substance can only exist in the solid phase.

(d) It represents the temperature at which a substance can only exist in the gas phase.

 

Question 11:                                                                            

A certain substance has a triple point at a pressure of 1 atmosphere and a temperature of 0°C. If the substance is subjected to a pressure of 2 atmospheres, what will be the effect on the melting and boiling points?

(a) The melting point will increase, and the boiling point will decrease.

(b) The melting point will decrease, and the boiling point will increase.

(c) Both the melting point and boiling point will increase.

(d) Both the melting point and boiling point will decrease. [Level: Moderate]

 

Question 12:                                                                            

Two objects, A and B, are made of different materials. Object A has a mass of 1 kg and a specific heat capacity of 500 J/(kg·°C), while object B has a mass of 2 kg and a specific heat capacity of 250 J/(kg·°C). If the same amount of heat energy is transferred to both objects, which object will experience a greater increase in temperature? [Level: Moderate]

(a) Object A

(b) Object B

(c) Both objects will experience the same increase in temperature.

(d) It depends on the initial temperatures of the objects.

 

Question 13:                                                                            

A metal block with a mass of 2 kg and a specific heat capacity of 500 J/(kg·°C) is initially at a temperature of 25°C. It is placed in a calorimeter containing 1 kg of water initially at a temperature of 10°C. After some time, the metal block and water reach a final temperature of 30°C. Neglecting any heat loss to the surroundings, what is the initial temperature of the metal block?

[Level: Moderate]

(a) 20°C

(b) 15°C

(c) 30.75°C

(d) 17.93°C

 

Question 14:                                                                            

A 2 kg block of an unknown material is initially at a temperature of 100°C. It is heated by a heat source at a constant rate of 8000 W for 5 minutes. The block's temperature increases by 50°C during this time. What is the specific heat capacity of the unknown material? [Level: Moderate]

(a) 10000J/(kg·°C)

(b) 24000 J/(kg·°C)

(c) 40000 J/(kg·°C)

(d) 80000 J/(kg·°C)

 

Question 15:                                                                            

A 100 g aluminum cup is filled with 200 g of water at an initial temperature of 20°C. A 50 g piece of iron at a temperature of 100°C is dropped into the cup, causing the water and cup to reach a final temperature of 25°C. Assuming no heat loss to the surroundings, what is the specific heat capacity of iron?

[Level: Moderate]

(a) 1111.2 J/(kg·°C)

(b) 2111.4 J/(kg·°C)

(c) 4000 J/(kg·°C)

(d) 8023 J/(kg·°C)

 

Question 16:                                                                            

A 1 kg aluminum block is initially at a temperature of 20°C. It is heated by a burner that supplies heat at a constant rate of 5000 W for 10 minutes. The specific heat capacity of aluminum is 900 J/(kg·°C). How much does the temperature of the aluminum block increase during the 10-minute heating process? [Level: Moderate]

(a) 1000°C

(b) 333.33°C

(c) 200.33°C

(d) 133.56°C

 

Question 17:                                                                            

A gas undergoes a reversible process in which its molar specific heat at constant pressure (C_P) is 30 J/(mol·K) and its molar specific heat at constant volume (C_V) is 20 J/(mol·K). If the gas is initially at a pressure of 2 atm and a volume of 10 L, and it is taken to a final pressure of 4 atm while maintaining a constant volume, what is the change in the gas's internal energy?

[Level: Moderate]

(a) 0 J

(b) 100 J

(c) 200 J

(d) 300 J

 

Question 18:                                                                            

A certain substance has a latent heat of fusion of 200 J/g and a latent heat of vaporization of 500 J/g. If 50 grams of the substance is initially in the solid phase at its melting point, how much heat energy is required to completely vaporize it? [Level: Moderate]

(a) 10,000 J

(b) 35,000 J

(c) 20,000 J

(d) 25,000 J

 

Question 19:                                                                            

A glass flask has a volume of 200 cm³ at a temperature of 25°C. If the coefficient of volume expansion for glass is 9 × 10^-6 °C^-1 what will be the volume of the flask when its temperature is increased to 100°C? [Level: Moderate]

(a) 201.6 cm³

(b) 202.4 cm³

(c) 204.0 cm³

(d) 206.4 cm³

 

Question 20:                                                                            

A metal plate has an area of 100 cm² at a temperature of 20°C. If the coefficient of area expansion for the metal is 2.5 × 10^-5 °C^-1, what will be the area of the plate when its temperature is increased to 50°C?

[Level: easy]

(a) 100.5 cm²

(b) 100.8 cm²

(c) 101.2 cm²

(d) 101.5 cm²

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