TIME PERIOD OF A SIMPLE PENDULUM Inter first year Impartant essay //05//

I would like to explain all important intermediate first year important questions.
𝙒𝙊𝙍𝙆, 𝙋𝙊𝙒𝙀𝙍 & 𝙀𝙉𝙀𝙍𝙂𝙔
1.State and prove law of conservation of energy in case of a freely falling body?
2.What are collisions? explain the possible types of collisions. develop the theory of one dimensional elastic collision.
3.Develop the notions of work and kinetic energy and show that it leads to work - energy theorem.
𝙊𝙎𝘾𝙄𝙇𝙇𝘼𝙏𝙄𝙊𝙉𝙎
4.Define simple hormonic motion.Show that the motion of (point) projection of a particle performing uniform circular motion, on any diameter, is simple harmonic
5.Show that the motion of a simple pendulum is simple harmonic and hence derive an equation for its time period. what is seconds pendulum?
6.Derive the equation for the kinetic energy and potential energy of a simple harmonic oscillator and show that the total energy of particle in simple harmonic motion is constant at any point on its path.
𝙏𝙃𝙀𝙍𝙈𝘼𝙇 𝙋𝙍𝙊𝙋𝙀𝙍𝙏𝙄𝙀𝙎 𝙊𝙁 𝙈𝘼𝙏𝙏𝙀𝙍 & 𝙏𝙃𝙀𝙍𝙈𝙊𝘿𝙔𝙉𝘼𝙈𝙄𝘾𝙎
7.State boyle's law and Charles law. hence derive an ideal gas equation. which of the two laws is better for the purpose of thermometry and why?
8.State and explain Newton's law of cooling. state the Conditions under which Newton's law of cooling is applicable. A body cools down from 60°C to 50°C in 5 minutes and to 40°C in another 8 minutes. find the temperature of the surroundings.
9.Explain reversible and irreversible processes. Describe the working of carnot engine. Obtain an expression for the efficiency.