Question

A cyclotron in which protons are accelerated has a flux density of $1.57\text{T}$. The frequency of variation of electric field is

• A. $4.8\times {10}^6\text{Hz}$
• B. $4.8\times {10}^8\text{Hz}$
• C. $8.4\times {10}^8\text{Hz}$
• D. $2.4\times {10}^7\text{Hz}$

Answer 1

The correct option is D $2.4\times {10}^7\text{Hz}$

Frequency, $f=\frac{Bq}{2\pi m}$

$\Rightarrow f=\frac{1.57\times 1.6\times {10}^{-19}}{2\times 3.14\times 1.67\times {10}^{-27}}$

$\Rightarrow f=2.4\times {10}^7\text{Hz}$