Particle A of mass m_A=m/2 moving along the x -axis with velocity v_0 collides elastically with another particle B at rest having mass m_B=m/3. If…

Particle $\displaystyle A$ of mass $\displaystyle m_A=\frac{m}{2}$ moving along the $\displaystyle x$-axis with velocity $\displaystyle v_0$ collides elastically with another particle B at rest having mass $\displaystyle m_B=\frac{m}{3}$. If both particles move along the $\displaystyle x$-axis after the collision, the change $\displaystyle \Delta \lambda$ in de-Broglie wavlength of particle A, in terms of its de-Broglie wavelength $\displaystyle \left(\lambda_0\right)$ before collision is :