contestada

A triply charged ion with velocity 7.00 × 10^6 m/s moves in a path of radius 36.0 cm in a magnetic field of 0.55 T in a mass spectrometer. What is the mass of this ion?

Respuesta :

Answer:

Mass of ion will be [tex]22\times 10^{-13}kg[/tex]                

Explanation:

We have given ion is triply charged that is [tex]q=3\times 1.6\times 10^{-19}=4.8\times 10^{-19}C[/tex]

Radius r = 36 cm = 0.36 m

Velocity of the electron [tex]v=7\times 10^6m/sec[/tex]

Magnetic field B = 0.55 T

We know that radius of the path is given by [tex]r=\frac{mv}{qB}[/tex]

[tex]m=\frac{rqB}{v}=\frac{0.36\times 4.8\times 10^{-19}\times 7\times 10^6}{0.55}=22\times 10^{-13}kg[/tex]