In a bubble chamber, the actual paths of subatomic particles are visible by the

Question

In a bubble chamber, the actual paths of subatomic particles are visible by the trails of ionized particles left in their wake. In such a device, it is noted that a proton traces a 4.9 cm radius circle in 0.1?s. A. What is the magnitude of the uniform magnetic field in the bubble chamber? B. If the magnetic field magnitude was doubled, what would happen to the radius of the protons path? In a butble in their wake. In such a device, it is noted that a proton traces a 4.9 cm radius circle in 0.1 ?. chamber, the actual paths of subatomic particles are visible by the trails of ionized particles lef Mathematical Analysis" a What is the magnitude of the uniform magnetic field in the bubble chamber? b. lf the magneric field magninnde was doubled what would happen to the radius of the proton's path? c If the magnetic field magnitude was doubled, what would happen to the period of the proton's orbi?

Explanation / Answer

given

r = 4.9 cm = 0.049 m

T = 0.1 s

we know, mass of proton, m = 1.67*10^-27 kg

charge of proton, q = 1.6*10^-19 C

A) we know, T = 2*pi*m/(B*q)

===> B = 2*pi*m/(T*q)

= 2*pi*1.67*10^-27/(0.1*1.6*10^-19)

= 6.6*10^-7 T

B) we know, r = m*v/(B*q)

so, B is doubled r becomes half.

r' = r/2 = 4.9/2 = 2.45 cm

C) T = 2*pi*m/(B*q)

so, when B is doubled T becomes half.

T' = T/2 = 0.1/2 = 0.05 s

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