A cyclotron accelerates particles of mass m and charge q. The energy of particles emerging is proportional to

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Q: 69 (NDA-II/2014)
A cyclotron accelerates particles of mass m and charge q. The energy of particles emerging is proportional to

question_subject: 

Science

question_exam: 

NDA-II

stats: 

0,5,8,5,5,3,0

keywords: 

{'cyclotron': [0, 0, 0, 1], 'particles': [1, 0, 5, 16], 'energy': [0, 0, 1, 2], 'q2': [0, 0, 0, 1], 'q2 fm2': [0, 0, 0, 1], 'm2': [0, 1, 0, 6]}

The correct answer is option 1: q^2 (m).

A cyclotron is a type of particle accelerator that uses a magnetic field to accelerate charged particles. The energy of the particles emerging from a cyclotron is proportional to q^2 (m), where q is the charge of the particle and m is the mass of the particle.

Let`s analyze the other options to understand why they are not correct:

Option 2: q/m^2 - This option suggests that the energy is inversely proportional to the square of the mass. However, in a cyclotron, the energy is not dependent only on the mass of the particle but also on its charge. Therefore, this option is incorrect.

Option 3: q^2 fm^2 - This option suggests the energy is proportional to q^2 times f times m^2. However, the factor "f" is not defined and it is not known how it relates to the energy of the particles. Therefore, this option is incorrect.

Option 4: q - This option suggests that the energy is proportional only to the charge of the particle. However, the energy in a cyclotron is dependent on both the charge and mass of the particle. Therefore, this option is incorrect.

In conclusion, the correct