Three particles are prepared as follows: P: an electron given of kinetic energy, Q:…

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

Problem

Three particles are prepared as follows: P: an electron given 150 eV150\,\text{eV} of kinetic energy, Q: an α\alpha-particle (charge +2e+2e, mass 4mp4m_p) accelerated through a potential difference of 150 V150\,\text{V}, R: a proton whose linear momentum is equal to that of particle P. Which one of the following correctly ranks their de Broglie wavelengths in descending order? (a) λQ>λP=λR\lambda_Q > \lambda_P = \lambda_R (b) λP>λR>λQ\lambda_P > \lambda_R > \lambda_Q (c) λP=λR>λQ\lambda_P = \lambda_R > \lambda_Q (d) λQ>λR>λP\lambda_Q > \lambda_R > \lambda_P

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