- #1
Saptarshi Sarkar
- 99
- 13
- Homework Statement
- Consider an electron moving in 1D and confined within 0.1Å and it's speed not exceeding 10^7 m/s. The number of quantum states available to the electron is
a) 10^4
b) 56
c) 48
d) 27
- Relevant Equations
- n= x_0*p_0/h
I calculated the total area of phase space and divided it by the area of one cell i.e. h.
n = (x_0*m*2*v)/h
=> n = (0.1 x 10^-10 x 9.1 x 10^-31 x 2 x 10^7)/6.626 x 10^-34
=> n = 0.27
This answer doesn't match with any of the options. What did I do wrong?
Edit: The question was printed wrong, the confinement distance should be 10Å instead of 0.1. Answer comes out as 27.
n = (x_0*m*2*v)/h
=> n = (0.1 x 10^-10 x 9.1 x 10^-31 x 2 x 10^7)/6.626 x 10^-34
=> n = 0.27
This answer doesn't match with any of the options. What did I do wrong?
Edit: The question was printed wrong, the confinement distance should be 10Å instead of 0.1. Answer comes out as 27.
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