The energy that should be added to an electron, to reduce its de-Broglie wavelength from `2xx10^(-9) m` to `0.5xx10^(-9)m` will be:

Options

A. 1.1 MeV
B. 0.56 MeV
C. 0.56KeV
D. 5.6 eV

Explanation

To solve the problem of finding the energy that should be added to an electron to reduce its de-Broglie wavelength from \(2 \times 10^{-9} \, \text{m}\) to \(0.5 \times 10^{-9} \, \text{m}\), we will use the de-Broglie wavelength formula and the relationship between energy and wavelength.

### Step-by-step Solution:

1. **Identify the de-Broglie Wavelength Formula**:
The de-Broglie wavelength (\(\lambda\)) of a particle is given by the formula:
\[
\lambda = \frac{h}{\sqrt{2mE}}
...