If the kinetic energy of a particle is doubled, by what factor the de Broglie wavelength of the particle increase or decrease ?

Explanation

To solve the problem of how the de Broglie wavelength of a particle changes when its kinetic energy is doubled, we can follow these steps:

### Step-by-Step Solution:

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