Question

Given that the maximum wavelength of the photon required to break up a cooper pair in tin is 1.08 × 10−3m, calculate the energy gap.

Answer 1

Hey friend,  Harish here.

Here is your answer:

Given that,

The max wavelength of the photon required to break up a copper pair in tin is 1.08 × 10⁻³ m.

To  find,

The energy gap.

Solution,

Let the Copper(Cu) energy gap be " E ".

Then, We know  that,

$Energy(E)= h\nu = \frac{hc}{\lambda}$

Here,
 1)h = 6.63 × 10⁻³⁴ Js (Plank's constant) 
 
 2)c= 3 × 10⁸ m/sec (Speed of light).

 3)λ = 1.08 × 10⁻3.

Then,

$E = \frac{6.63\times 10^{-34}\times 3\times 10^{8}}{1.08 \times 10^{-3}}$

⇒  $1.84 \times 10^{-22}\ J$

Now, to convert it into electronic volts we must multiply it with 6.24 × 10¹⁸.

Then,

E = 1.84 × 6.24 × 10⁻²² × 10¹⁸.

   = 1.15 × 10⁻³ eV.
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Hope my answer is helpful to you.