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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.
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What is the length of the greatest and thinnest string that can be located under a tension of 860 without breaking .
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It's found that string is set into oscillation only at the frequency 880 Hz and 1320 Hz as the frequency of an oscillator is varied over the range 500-1500 Hz. What is the tension in the string.
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