Two identical particles have to be distributed among three energy levels. Let rB, rr and rc represent the ratios of probability of finding two particles to that of finding one particle in a given energy state. The subscripts B. F and C correspond to whether the particles are bosons, fermions and classic particles, respectively. The, rB : rF: rc is equal toa)b)c)d)Correct answer is option 'D'. Can you explain this answer?

Question

Answer

Boson are indistingushable particles So in three energy state, they can be distributed as -

So, total micro state are 3 So, probability of finding two particle AB in which one particle is in one energy state is

...(i)
2) Fermins are also indistinguishable particles but according to Pauli exclusion principle they can not stay in one state so,

...(ii)
3) Classical particle are distinguishable particle so they are distributed as -

So, there are 6 microstate, So probability

...(iii)

Answer

Boson are indistingushable particles So in three energy state, they can be distributed as -

So, total micro state are 3 So, probability of finding two particle AB in which one particle is in one energy state is

...(i)
2) Fermins are also indistinguishable particles but according to Pauli exclusion principle they can not stay in one state so,

...(ii)
3) Classical particle are distinguishable particle so they are distributed as -

So, there are 6 microstate, So probability

...(iii)

Answer

Boson are indistingushable particles So in three energy state, they can be distributed as -

So, total micro state are 3 So, probability of finding two particle AB in which one particle is in one energy state is

...(i)
2) Fermins are also indistinguishable particles but according to Pauli exclusion principle they can not stay in one state so,

...(ii)
3) Classical particle are distinguishable particle so they are distributed as -

So, there are 6 microstate, So probability

...(iii)

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