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What were physicists studying the behavior of which encouraged them to search for explanations beyond the realm of classical mechanics?


Uncle Steve pulls on a rope attached to a trolley with a force of 75N. The rope makes and angle of 45 with the horizontal. Compute the effective force tending to pull the trolley along the horizontal, compute the force tending to lift the trolley


a boy pulls a rope attatched to a sled with a force of 80.0 N. The

rope makes an angle of 30 degrees with the ground. compute the effective value of the pull tending to move the sled. a) along the ground b)lifting it vertcally


A rock is thrown horizontally from the top of a cliff 88 m high, with a horizontal speed of 25 m/s. How far from the base of the cliff does the rock land?


a) Suppose, I have normalized the wave function at some point of time. The wave function evolves with time according to time dependent Schrodinger equation. How do I know that the wave function remains normalized after some time? [Hint: Show that d dt int - infty ^ infty | psi(x,t)|^ 2 dx=0] (b) Show that d(p)/dt =(- partial V/partial x ) i.e.,expectation values follow Newton's law.


What is the relation between the size of a Bohr atom and the size of a Schroedinger atom?


Waves on deep water with surface tension T and density 𝜌 are governed by the dispersion relation πœ”2=π‘”π‘˜+𝑇 πœŒπ‘˜3. Calculate the phase and group velocities of the waves. Find the wave number kc at which phase velocity reaches a minimum. What is the group velocity for this wave number?


With a neat diagram, explain the working of electron microscopes. Briefly explain the role of each experimental component. Compare the resolution of electron microscopes and optical microscopes. [Hint: Explanation of SEM & TEM is required]


A particle strikes a potential barrier of height U and width L. Derive an expression for the approximate transmission probability, if the energy of the particle E < U


A particle strikes a potential barrier of height U and width L. Derive an expression for the approximate transmission probability, if the energy of the particle E < U


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