Assertion: Cyclotron does not accelerate elec | vedclass

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(C) cyclotron operates on the principle that the frequency of the oscillating electric field matches the cyclotron frequency of the particle,which is

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If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

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(C) cyclotron operates on the principle that the frequency of the oscillating electric field matches the cyclotron frequency of the particle,which is given by $f = \frac{qB}{2\pi m}$.Because the mass of an electron $(m)$ is very small,it gains speed very rapidly when accelerated.According to the theory of relativity,as the speed of the electron approaches the speed of light,its relativistic mass increases significantly $(m = \frac{m_0}{\sqrt{1 - v^2/c^2}})$.This increase in mass causes the cyclotron frequency to change,leading to a mismatch between the frequency of the $a.c.$ source and the particle's rotation frequency in the Dees.Consequently,the electron falls out of phase with the electric field and is no longer accelerated effectively. Thus,both the assertion and the reason are correct,and the reason is the correct explanation for the assertion.

Assertion: Cyclotron does not accelerate electrons.
Reason: Mass of the electrons is very small.

Similar Questions

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Assertion: Cyclotron does not accelerate electrons.Reason: Mass of the electrons is very small.