The energy that should be added to an electron, to reduce its de-Broglie wavelengths from `10^(-10) m` to `0.5 xx 10^(-10)` m wil be

Explanation

To solve the problem of finding the energy that should be added to an electron to reduce its de-Broglie wavelength from \(10^{-10} \, m\) to \(0.5 \times 10^{-10} \, m\), we can follow these steps:

### Step 1: Understand the relationship between de-Broglie wavelength and energy
The de-Broglie wavelength \(\lambda\) of a particle is given by the formula:
\[ \lambda = \frac{h}{\sqrt{2mE}} \]
where:
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