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2000 neutral spinless particles are confined in a one-dimensional box of length 200 nin. At A given instant of time, if 200 of these particle have energy 4∈0 and the remaining 1800 have 225∈0, then the number of particles in the left half of the box will be approximately.
  • a)
    1441
  • b)
    1100
  • c)
    1000
  • d)
    1625
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
2000 neutral spinless particles are confined in a one-dimensional box ...
In every energy state the probability of finding a particle is equal in left and right hand portion of the box. 
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2000 neutral spinless particles are confined in a one-dimensional box ...
EV, what is the average energy of a particle in the box?

To find the average energy of a particle in the box, we need to calculate the total energy of all the particles and then divide it by the total number of particles.

Given that 200 particles have an energy of 4 eV, the total energy contributed by these particles is 200 * 4 = 800 eV.

Since there are 2000 particles in total, the average energy of a particle in the box is 800 eV / 2000 = 0.4 eV.

Therefore, the average energy of a particle in the box is 0.4 eV.
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2000 neutral spinless particles are confined in a one-dimensional box of length200 nin. At A given instant of time, if 200 of these particle have energy 4∈0 andthe remaining 1800 have 225∈0,then the number of particles in the left half of the box will be approximately.a)1441b)1100c)1000d)1625Correct answer is option 'C'. Can you explain this answer?
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