The ratio of the de Broglie wavelength of a proton and alpha particles will be `1:2` if their

Options

A. Velocity are in the ratio `1:8`
B. Velocity are in the ratio `8:1`
C. Kinetic energ are in the ratio `1:64`
D. Kinetic energ are in the ratio `1:256`

Explanation

To solve the problem of finding the ratio of the de Broglie wavelength of a proton and an alpha particle, we can follow these steps:

### Step 1: Understand the de Broglie wavelength formula
The de Broglie wavelength (λ) is given by the formula:
\[ \lambda = \frac{h}{mv} \]
where \(h\) is Planck's constant, \(m\) is the mass of the particle, and \(v\) is its velocity.
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