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At a specific instant emission of radioactive compound is deflected in a magnetic field. The compound can emit: (i) Electrons (ii) Protons (iii) \(\mathrm{He}^{2+}\) (iv) Neutrons

Short Answer

Expert verified
In the presence of a magnetic field, (i) electrons, (ii) protons, and (iii) \(\mathrm{He}^{2+}\) ions will be deflected due to the Lorentz force experienced as a result of their charges. However, (iv) neutrons, being neutral particles with no charge, will not experience any force in the magnetic field and will not be deflected.

Step by step solution

01

Recall the force on a charged particle in a magnetic field

When a charged particle moves through a magnetic field, it experiences a force given by the Lorentz force equation: \( \vec{F} = q(\vec{v} \times \vec{B}) \) Here, \(\vec{F}\) is the force experienced by the particle, \(q\) is the charge of the particle, \(\vec{v}\) is the velocity of the particle, and \(\vec{B}\) is the magnetic field vector.
02

Determine the effect of magnetic field on each type of emitted particle

Now, let's determine the force experienced by each of these particles in the magnetic field when they are emitted. (i) Electrons: Electrons are negatively charged particles with charge \(q = -e\). Therefore, they experience a force in the magnetic field and will be deflected. (ii) Protons: Protons are positively charged particles with charge \(q = +e\). Therefore, they also experience a force in the magnetic field and will be deflected. (iii) \(\mathrm{He}^{2+}\): This is a helium ion with a charge of \(q = +2e\). Thus, it will also experience a force in the magnetic field and will be deflected. (iv) Neutrons: Neutrons are neutral particles with no charge (\(q = 0\)). Hence, they do not experience any force in the magnetic field, and they will not be deflected.
03

Summarize the deflections of the emitted particles

To summarize, we have: (i) Electrons: Deflected; (ii) Protons: Deflected; (iii) \(\mathrm{He}^{2+}\): Deflected; (iv) Neutrons: Not deflected.

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