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Cyclotron MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

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Cyclotron is a device which is used to

When a proton is accelerated through 1 V, then its kinetic energy will be:

An alternating electric field, of frequency v, is applied across the dees (radius = R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by :

A proton, deuteron and particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If rp, rd and r_{\alpha} denote their radii respectively, the correct order of radii:

Alpha particles $\left(m=6.7 \times 10^{-27} \mathrm{~kg}\right)$ and $q=+2 e$ are accelerated from rest through a potential difference of 6.7 KV. Then, they enter a magnetic field $B=0.2 T$ perpendicular to the direction of their motion. The radius of the path described

An electron experiences no deflection if subjected to an electric field of $3.2 \times 10^5 \mathrm{v} / \mathrm{m}$ and a magnetic induction of $2.0 \times 10^{-3} \tau$. Both the fields are applied perpendicular to the path of the electron and also to each other. If the electric field is removed then the electron will revolve in an orbit of radius

A particle of charge $\mathbf{q}$ and mass $\mathbf{m}$ is projected with a velocity $v_0$ towards a circular region having uniform magnetic field $\mathbf{B}$ perpendicular and into the plane of paper form point $\mathbf{P}$ as. $\mathbf{R}$ is the radius and $\mathbf{O}$ is the centre, The value of $v_0$ so that particle passes through $O$ is -

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An alternating electric field, of frequency v, is applied across the dees (radius =R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (k) of the proton beam, produced by it, are given by:

Directions: There are two different sentences with a blank space in each question. Choose the word from the given options which fits into both the blanks appropriately without altering their meanings.

(I) The shadowy foliage and its reflection of lingering sunlight from the shiny leaves capture something sweetly ________ at this dark time of year.

(II) Scorpio people could also surprise you with their ______ mood this weekend.

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Cyclotron

Cyclotron 

Cyclotron is a device used to accelerated positively charged particles (like, a-particles, deutrons etc.) to acquire enough energy to carry out nuclear disintegration etc. It is based on the fact that the electric field accelerates a charged particle and the magnetic field keeps it revolving in circular orbits of constant frequency.

It consists of two hollow D-shaped metallic chambers  D_1 and  D_2  called dees. The two dees are placed horizontally with a small gap separating them. The dees are connected to the source of high frequency electric field. The dees are enclosed in a metal box containing a gas at a low pressure of the order of 10^{-3} mm mercury. The whole apparatus is placed between the two poles of a strong electromagnet NS as shown in fig. The magnetic field acts perpendicular to the plane of the dees.

Radius of  the path travelled by the particle can be given as : 

r=\frac{mV}{qB} 

where V is the velocity, q is the charge and B is magnitude of magnetic field applied.

 

Cyclotron frequency : Time taken by ion to describe a semicircular path is given by     t = \frac{\pi r}{v}=\frac{\pi m }{qB}

 If T= time period of oscillating electric field then,      T=2t=\frac{2\pi m}{qB}

 therefore the cyclotron frequency       \nu =\frac{1}{T}=\frac{Bq}{2 \pi m}

 Maximum energy of particle : Maximum energy gained by the charged particle  E_{max}=\left(\frac{q^2B^2}{2m}\right)r_{0}^2

 where r_0=maximum radius of the circular path followed by the positive ion.

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