Mechanics Assignment (B. Sc (Hon.) 1st SEM) PDF

Assignment (Mechanics) B. Sc (Hon.) Ist SEM 1. What is the Michelson-Morley experiment, and how did its outcome challenge the concept of the aluminiferous ether? 2. How do Lorentz transformations explain the relationship between space and time in the context of specia...

Assignment (Mechanics) B. Sc (Hon.) Ist SEM 1. What is the Michelson-Morley experiment, and how did its outcome challenge the concept of the aluminiferous ether? 2. How do Lorentz transformations explain the relationship between space and time in the context of special relativity, and what are their implications for observers in different inertial frames? 3. How does the mass of an object vary with its velocity according to Einstein's theory of relativity, and what are the implications of this phenomenon for objects approaching the speed of light? 4. Derive an expression for Time dilation in theory of relativity. 5. A particle has a rest mass of 2 kg. Using Einstein’s mass-energy equivalence formula, calculate the energy associated with its rest mass. (𝑐 = 3 × 10 𝑚/𝑠) 6. During a nuclear reaction, 0.001 kg of mass is converted into energy. Calculate the amount of energy released. 𝑐 = 3 × 10 𝑚/𝑠) 7. A photon has an energy of 5 × 10 𝐽. What is the equivalent mass of this photon? 𝑐 = 3 × 10 𝑚/𝑠) 8. A rod has a proper length of 5 m. At what speed must the rod travel so that its observed length becomes 3 m for an external observer?