Question

30. if L be the length of a one
dimensional closed box in which a
particle is enclosed then its energy is
proportional to​

Answer 1

Answer. 1/(x-2) is not a polynomial as this equals to (x-2)^-1, and negative powers are not allowed for a given equation to be a polynomial.

Answer 2

Answer:

The energy of the particle is inversely proportional to the square of the length of the box.

Explanation:

First, let's see the following relation,

$E=\frac{h^2n^2}{8mL^2}$          (1)

Where,

E=energy of the particle

h=planks constant=6.626×10⁻³⁴Joule-second

n=quantum states

m=mass of the particle

L=length of the box

By considering h,n, and m constant equation (1) can be written as,

$E\propto\frac{1}{L^2}$       (2)

Hence, the energy of the particle is inversely proportional to the square of the length of the box.