Answer:
Magnetic field will be equal to 0.269 T
Explanation:
We have given mass of chlorine ion is 35u
As we know that 1 u = [tex]=1.66\times 10^{-27}kg[/tex]
Radius of circular path is given r = 3.5 m
So mass of chlorine ion [tex]=35\times 1.66\times 10^{-27}kg=58.1\times 10^{-27}kg[/tex]
Charge [tex]q=1.6\times 10^{-19}C[/tex]
Potential difference V = 250 KV
From conservation of energy
[tex]\frac{1}{2}mv^2=qV[/tex]
So [tex]\frac{1}{2}\times 58.1\times 10^{-27}\times v^2=1.6\times 10^{-19}\times 250000[/tex]
[tex]v=2.6\times 10^6m/sec[/tex]
We know that radius is equal to [tex]r=\frac{mv}{qB}[/tex]
So [tex]3.5=\frac{58.1\times 10^{-27}\times 2.6\times 10^6}{1.6\times 10^{-19}\times B}[/tex]
[tex]B=0.269Tesla[/tex]
