The allowed energy for the particle for a particular value of n is proportional to

Options

A. `a^(-2)`
B. `a^(-3/2)`
C. `a^(-1)`
D. `a^(2)`

Answer

A

Explanation

For the standing wave, `a = n (lambda)/(2) or lambda = (2a)/(n)`
`P = (h)/(lambda) = (nh)/(2a) , E = (P^(2))/(2m) = (n^(2)h^(2))/(2a^(2)m), E infty a^(-2)`