Question

the magnetic field applied in a cyclotron is 3.5 T. what will be the frequency of electric field if the charge particle is alpha-particle?

Answer 1

Q)

The magnetic field density applied in a cyclotron is 3.5T3.5T what will be the frequency of electric field that must be applied between the dees in order to accelerate protons. Mass of protons =1.67×1027kg=1.67×1027kg

2.675×106Hz26.75×106Hz2.675×107Hz267.5×106Hz2.675×106Hz26.75×106Hz2.675×107Hz267.5×106Hz

I dont know if this is what u exactly wanted

A)

Solution :

γ=B×2e2π×4mγ=B×2e2π×4m

=3.5×2×1.6×10−194×227×4×1.67×10−27=3.5×2×1.6×10−194×227×4×1.67×10−27

=2.675×107Hz=2.675×107Hz

Answer : 2.675×107Hz

Answer 2

Answer:

mass of alpha particle= 4×mass of electron

charge of alpha particle = 2×charge of electron

Frequency= qB/2pie×m

frequency of alpha particle =2eB/2pie×4m

f= 2×1.6×10^-19×3.5 / 2×3.14×4×1.6×10^-27

=2.78×10^7 Hz