1.

For a particle of mass m enclosed in a one-dimentional box of length L, the de-Broglie concept would lead to stationary waves, with nodes at the two ends. The energy values allowed for such a system (with n as integers) will be:

Answer»

`(H^(2))/(8mL^(2))N^(2)`
`(h^(2))/(4mL)n^(2)`
`(h)/(4mL)n`
`(h^(2))/(4mL^(2))n^(2)`

Solution :`LAMBDA=(2L)/(n),p=(NH)/(2L) :. lambda=(p)/(h)`
`E=(p^(2))/(2M)=((nh)/(2L))^(2)*(1)/(2m)=(h^(2)n^(2))/(8mL^(2))`


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