Two particles A and B of de-broglie wavelength `lambda_(1) and lambda_(2)` combine to from a particle C. The process conserves momentum. Find the de-Broglie wavelength of the particle C. (The motion is one dimensional).

Explanation

To find the de-Broglie wavelength of particle C formed by the combination of two particles A and B with de-Broglie wavelengths λ₁ and λ₂, we will use the principle of conservation of momentum. Let's analyze the situation step by step.

### Step 1: Understand the de-Broglie wavelength
The de-Broglie wavelength (λ) of a particle is given by the formula:
\[ \lambda = \frac{h}{p} \]
where \( h \) is Planck's constant and \( p \) is the momentum of the particle.
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