Heat and Thermodynamics এর বিশেষ সাজেশন
Suggested Questions for AMIE next Exam
- Kinetic Theory of Gases
- (a) State the basic assumptions of the kinetic theory of gases. (4)
- (b) Derive the equation for the pressure exerted by an ideal gas using the kinetic theory of gases. (12)
- (c) At what temperature, pressure remaining constant, will the root-mean-square velocity of a gas molecule be double its value at 0°C? (4)
- Thermodynamic Processes
- (a) Define isothermal and adiabatic processes. Provide examples of each. (4)
- (b) Using the first law of thermodynamics, explain the work done during an isothermal and adiabatic expansion of an ideal gas. (12)
- (c) A gas undergoes an adiabatic expansion from volume V1 to V2. If the initial and final temperatures are T1 and T2 respectively, derive the relationship between these quantities. (4)
- Laws of Thermodynamics
- (a) State the second law of thermodynamics according to Clausius and Kelvin-Planck. (4)
- (b) Explain the concept of entropy and show that it remains constant in an isolated reversible process. (12)
- (c) Calculate the change in entropy when 5 kg of ice at 0°C is converted into water at the same temperature. (4)
- Carnot Engine and Efficiency
- (a) What is a Carnot engine? Describe its main components. (3)
- (b) Derive an expression for the efficiency of a Carnot engine in terms of the temperatures of the source and the sink. (13)
- (c) A Carnot engine operates between two temperature reservoirs at 500 K and 300 K. If the engine absorbs 600 J of heat from the hot reservoir, calculate the work done by the engine. (4)
- Entropy and Free Energy
- (a) Define Gibbs free energy and Helmholtz free energy. Explain their significance in thermodynamic processes. (4)
- (b) Show that for a reversible isothermal process, the change in Helmholtz free energy is equal to the work done by the system. (12)
- (c) Calculate the change in Gibbs free energy when 2 moles of a gas expand isothermally and reversibly at 300 K from an initial volume of 5 L to a final volume of 10 L. (4)
- Van der Waals Equation and Real Gases
- (a) State the Van der Waals equation for real gases. (4)
- (b) Derive the critical constants (Tc, Pc, Vc) for a gas obeying the Van der Waals equation. (12)
- (c) Calculate the value of the critical temperature for ammonia where the gas constants are a = 0.423 dm^6 atm mol^-2 and b = 0.0371 dm^3 mol^-1. (4)
Suggested Topics for AMIE next Exam
- Kinetic Theory of Gases
- Derivation of the ideal gas equation using kinetic theory.
- Application of Maxwell-Boltzmann distribution.
- Calculation of various speeds: most probable, average, and root-mean-square.
- Thermodynamic Processes
- Detailed analysis of isothermal, adiabatic, isobaric, and isochoric processes.
- Understanding the P-V diagrams and their applications.
- Laws of Thermodynamics
- Explanation and mathematical formulation of the first, second, and third laws of thermodynamics.
- Applications of the first law to various thermodynamic processes.
- Clausius and Kelvin-Planck statements of the second law.
- Introduction to the concept of the third law and its implications.
- Carnot Engine and Efficiency
- Detailed derivation and analysis of the Carnot cycle.
- Calculation of efficiency for different types of heat engines.
- Real-world applications of the Carnot engine.
- Entropy and Free Energy
- Concept and significance of entropy in thermodynamic processes.
- Derivation of entropy changes for reversible and irreversible processes.
- Introduction to Gibbs free energy and Helmholtz free energy.
- Van der Waals Equation and Real Gases
- Derivation and significance of Van der Waals equation.
- Comparison between ideal and real gases.
- Critical constants and their calculations.
- Heat Transfer
- Conduction, convection, and radiation.
- Fourier’s law, Newton’s law of cooling, and Stefan-Boltzmann law.
- Applications of heat transfer principles in various engineering systems.
Oscillations and Waves এর বিশেষ সাজেশন
Suggested Questions for AMIE next Exam
- Simple Harmonic Motion (SHM)
- (a) Define simple harmonic motion with examples. (3)
- (b) Show that, for a body executing simple harmonic motion, mechanical energy remains conserved. At what particular displacement is its energy, on average, half kinetic and half potential in form? (13)
- (c) A body is vibrating with simple harmonic motion of amplitude 15 cm and frequency 4 Hz. Compute the acceleration and velocity when the displacement is 9 cm. (4)
- Wave Motion
- (a) Distinguish between group velocity and phase velocity. (4)
- (b) Obtain an expression for a plane progressive wave travelling in the positive x-direction. (12)
- (c) A wave along a string is given by the relation: y=0.02sin(30t−4.0x), where t is in seconds and x in meters. Find frequency and speed of the wave. (4)
- Reverberation
- (a) Distinguish between reverberation and reverberation time. (4)
- (b) Give the theory of decay of sound inside a room and hence obtain an expression of reverberation time. (12)
- (c) The volume of a room is 600 m³. The wall area of the room is 220 m², the floor area is 120 m² and the ceiling area is 120 m². The average sound absorption coefficient, (i) for the walls is 0.03, (ii) for the ceiling is 0.80, and (iii) for the floor is 0.06. Calculate the average sound absorption coefficient and the reverberation time. (4)
- Damped and Forced Vibrations
- (a) Differentiate between damped and forced vibrations. (4)
- (b) Derive the differential equation for damped harmonic motion and solve it when the damping is small. (12)
- (c) A body oscillates with simple harmonic motion according to the equation: x=6.0cos(3πt+π/3) mx. Find the displacement and velocity at the time t=2. (4)
- Travelling and Standing Waves
- (a) Differentiate between a travelling wave and a standing wave. (3)
- (b) Derive the equation of a travelling wave and solve it. (13)
- (c) One end of a stretched string ( x = 0 ) oscillates with an amplitude of 0.01 m and a frequency of 400 Hz so that travelling waves are set up in the positive x-direction. The velocity of the wave is 100 m/s. Write the equation of the travelling wave. (4)
আজম স্যারের কিছু ক্লাস করে দেখুন
Suggested Topics for AMIE next Exam
- Simple Harmonic Motion (SHM)
- Definition and characteristics of SHM.
- Conservation of mechanical energy in SHM.
- Examples and applications of SHM in real life.
- Wave Motion
- Distinguishing between group velocity and phase velocity.
- Derivation and properties of plane progressive waves.
- Equations and characteristics of travelling and standing waves.
- Reverberation
- Concept of reverberation and reverberation time.
- Factors affecting reverberation time.
- Theory of decay of sound and its practical implications.
- Damped and Forced Vibrations
- Differences between damped and forced vibrations.
- Derivation of equations for damped harmonic motion.
- Real-life applications and examples of damped and forced vibrations.
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