Question

9, The momentum of a particle in infinite potential well of length l is *


inversely proportional to l
inversely proportional to l2
proportional to l2
proportional to

Answer 1

Answer:

inversely proportional to l2

Answer 2

Answer:

The momentum of a particle in the infinite potential well of length l is inversely proportional to l.

Explanation:

For an infinite potential well momentum is given as,

$P=\frac{nh}{2L}$        (1)

Where,

P=momentum of the particle in infinite potential well

n=quantum state of the particle

h=planks constant=6.6×10⁻³⁴ Joule-second

L=length of the well

As n, h, and 2 are constant the equation (1) can be written as,

$P\propto\frac{1}{L}$       (2)

From equation (2) we get that the momentum of a particle in the infinite potential well of length L is inversely proportional to L.

Hence, the correct option is inversely proportional to l.