Question

A 1ev electron got trapped inside the surface of a metal.If the potential barrier is 4.0ev and the width of the barrier is 2Á. Calculate the probability of its transmission​

Answer 1

Answer:

A particle is in the nth energy state ψn(x) of an infinite square well potential with width L. • Determine the probability Pn(1/a) that the particle ...

Explanation:

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Answer 2

Answer:

The electron of energy 1 eV will not be able to escape the metal surface if the potential barrier is greater than 1 eV.

Explanation:

From the above question,

They have given :

The probability of transmission is given by the equation

P =  ( $\frac{1}{2}$ ) exp (-2 π2 m V / $h^{2}$)

where m is the mass of the electron, V is the potential barrier, and h is the Planck constant.

The electron of energy 1 eV will not be able to escape the metal surface if the potential barrier is greater than 1 eV.

This is because the electron does not have enough energy to surmount the barrier. It will remain trapped in the metal surface until it absorbs energy from its environment, which will then allow it to escape.

Substituting the given values, we get

P =  ( $\frac{1}{2}$ ) exp ( -2π2 * 9.11 x 10 - 31 * 4.0 / 6.62 x 10 - 34)

P = 1.5 x 10-5

Hence, the probability of transmission is 1.5x10-5.

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