In a high-energy physics experiment, a subnuclear particle moves in a circular a

Question

In a high-energy physics experiment, a subnuclear particle moves in a circular arc of 3.48 m radius perpendicular to a magnetic field of 2.70×10-2 T. The kinetic energy of the particle is determined to be 6.76×10-14 J. Identify the particle from its mass. The masses of the positron, pion, kaon, proton, muon and Dmeson are 9.10×10-31 kg, 2.50×10-28 kg, 8.84×10-28 kg, 1.67×10-27kg, 1.88×10-28 kg and 3.35×10-27 kg, respectively. Assume that the particle is known to have a positive charge equal to the magnitude of the electron charge. Enter the name of the particle from the list given above.

Explanation / Answer

We know that

R=mv/Bq

V=RBq/m

KE= 1/2mv^2

KE= 1/2m R^2B^2q^2/m^2

m= 1/2R^2B^2q^2/Ke

m= 3.48×3.48×2.70×10^-2×2.70×10^-2×1.6×10^-19×1.6×10^-19/6.76 × 10^-14 =3.34×10^-27kg. Which is the mass of the Dmeson .

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