An -particle of mass is moving at towards a stationary gold nucleus of mass

PHYSICS · Single correct · A Level · Physics · Particles and radiation · Particles and radiation

Problem

An α\alpha-particle of mass 6.6×10−27 kg6.6\times10^{-27}\,\text{kg} is moving at 2.0×105 m s−12.0\times10^{5}\,\text{m\,s}^{-1} towards a stationary gold nucleus of mass 3.3×10−25 kg3.3\times10^{-25}\,\text{kg}. After a perfectly inelastic head-on collision, the two stick together. Calculate the de Broglie wavelength of the combined system immediately after the collision. (a) 0.20 pm0.20\,\text{pm} (b) 0.50 pm0.50\,\text{pm} (c) 5.0 pm5.0\,\text{pm} (d) 0.05 pm0.05\,\text{pm}

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