contestada

A proton, which moves perpendicular to a magnetic field of 1.35 T in a circular path of radius 0.072 m, has what speed? (qp = 1.6 · 10 19 C and mp = 1.67 · 10 27 kg)

Respuesta :

Answer:

Speed of the proton is [tex]v=9.31\times 10^6\ m/s[/tex]

Explanation:

It is given that,

Magnetic field, B = 1.35 T

Radius of circular path, r = 0.072 m

The centripetal force is balanced by the magnetic force such that,

[tex]\dfrac{mv^2}{r}=qv[/tex]

[tex]v=\dfrac{qrB}{m}[/tex]

q and m is the charge and mass of a proton respectively

[tex]v=\dfrac{1.6\times 10^{-19}\times 0.072\times 1.35}{1.67\times 10^{-27}}[/tex]

[tex]v=9.31\times 10^6\ m/s[/tex]

So, the speed if the proton is [tex]9.31\times 10^6\ m/s[/tex]. Hence, this is the required solution.