A particle A with a mass `m_(A)` is moving with a velocity v and hits a particle B (mass `m_(B)`) at rest (one dimensional motion). Find the change in the de-Broglie wavelength of the particle A. Treat the collision as elastic.

Explanation

To find the change in the de-Broglie wavelength of particle A after it collides elastically with particle B, we can follow these steps:

### Step 1: Understand the Initial Conditions
- Particle A has mass \( m_A \) and is moving with velocity \( v \).
- Particle B has mass \( m_B \) and is initially at rest (velocity = 0).

### Step 2: Apply Conservation of Momentum
In an elastic collision, the total momentum before the collision equals the total momentum after the collision. Therefore, we can write:
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