Particle A of mass mA = ${m \over 2}$ moving along the x-axis with velocity v0 collides elastically with another particle B at rest having mass mB = ${m \over 3}$. If both particles move along the x-axis after the collision, the change $\Delta $$\lambda $ in de-Broglie wavlength of particle A, in terms of its de-Broglie wavelength ($\lambda $0) before collision is :

Question

Particle A of mass m_A = ${m \over 2}$ moving along the x-axis with velocity v₀ collides elastically with another particle B at rest having mass m_B = ${m \over 3}$. If both particles move along the x-axis after the collision, the change $\Delta $$\lambda $ in de-Broglie wavlength of particle A, in terms of its de-Broglie wavelength ($\lambda $₀) before collision is :

$\Delta $$\lambda $ = ${5 \over 2}{\lambda _0}$

$\Delta $$\lambda $ = ${3 \over 2}{\lambda _0}$

$\Delta $$\lambda $ = 2$\lambda $₀

$\Delta $$\lambda $ = 4$\lambda $₀

Solution

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