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Q1. Eight identical, non-interacting particles are placed in a cubical box of sides L = 0.2 nm.
Find the lowest energy of the system (in electron volts) and list the quantum numbers of all occupied states if
(a) Particles are electrons and
(b) Particles have the same mass as the electron but do not obey the exclusion principle.
Q2. A 500 turn solenoid with a length of 20 cm and a radius of 3.0 cm carries a current of 3.0 A. A second coil of four turns is wrapped tightly about this solenoid so that it can be considered to have the identical radius as the solenoid. Find when the current in the solenoid increases to 5.0 A in a period of 0.90 s.
A 180g block hangs from a spring with spring constant 6.0 N/m. At the block is 31cm below the equilibrium point and moving upward with a speed of 98.0cm/s. What is the block's position at t = 9s.
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