Question

how many number of ways in whict 3 bosons can be distributed 4 cell​

Answer 1

Answer:

Bose–Einstein (B–E) statistics describe one of two possible ways in which a collection of non-interacting, indistinguishable particles may occupy a set of available discrete energy states at thermodynamic equilibrium. The aggregation of particles in the same state, which is a characteristic of particles obeying Bose–Einstein statistics, accounts for the cohesive streaming of laser light and the frictionless

Answer 2

Answer:

3 bosons can be distributed in 4 cells in 20 ways.

Concept:

Bosons: These are identical, indistinguishable particles that do not obey Pauli's exclusion principle. They obey Bose-Einstein statistics, according to which any number of particles can be in any cell and all cells are equally probable. For bosons, the number of ways of distribution of bosons is given by,

Number of ways = (n + g - 1)!/n!(g - 1)!            --------------------- (i)

where n = number of particles or number of bosons

g = number of quantum states or cells

Solution:

Here, n = 3

g = 4

Putting the values of n and g in (i), we get

Number of ways = (3 + 4 - 1)!/3!(4 - 1)!

                            = 6!/3!3!

                            = (6×5×4×3×2×1)/(3×2×1)(3×2×1)

                            = 5 × 4 = 20 ways

Hence, the number of ways in which 3 bosons can be distributed in 4 cells is 20.

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