Two subatomic particles 1 and 2, with the same kinetic energies, have their de-Broglie wavelengths as \( \lambda_1 \) and \( \lambda_2 \) and masses as 3 m and 6 m respectively. Determine the ratio \( \lambda_1 : \lambda_2 \).
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For particles with the same kinetic energy, the de-Broglie wavelength is inversely proportional to the square root of the particle’s mass. The heavier particle will have a shorter wavelength.