Before entering a mass spectrometer, ions pass through a velocity selector consi

Question

Before entering a mass spectrometer, ions pass through a velocity selector consisting of parallel plates separated by 2 mm and having a potential difference of 137 The magnetic field between the plates is 0.42 The magnetic field in the mass spectrometer is 1.2 T. Find the speed of the ions entering the mass spectrometer. m/s Find the difference in the diameters of the orbits of singly ionized 238^U and 235^U. (The mass of a 235^U ion is 3.903 times 10^-25 kg.) mm The galactic magnetic field in some region of the interstellar space has a magnitude of 1.0 times 10^-9 T. A particle of interstellar dust has a mass of 11 mu g and a total charge of 0.2 nC. How many years does it take for the particle to complete a revolution of the circular orbit caused by its interaction with the magnetic field? years

Explanation / Answer

question2

here

the time taken T = 2 * pie * r / v

and

q * v * B = m * v^2 / r

r / v = m / q*B

then from both equation

T = 2 * pie * m / (q * B)

T = (2 * 3.14 * 11 * 10^-6) / (0.2 * 10^-9 * 1 * 10^-9)

T = 3.454 * 10^14 sec = 10952562.15 years

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