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A mass spectrometer is a device that selects a Particle of manual mass. An ion with electric charge q>0 starts at rest from a source S and is accelerated through a hole into a region of the constant magnetic field \vec{B} perpendicular to the Plane of the paper as shown in fig. The Particle is deflected by the magnetic field and emerges through the bottom hole at a distance d from the top hole. The mass of the particle is

Option: 1

\frac{q B d}{v}


Option: 2

\frac{q B^2 d^2}{4 V}


Option: 3

\frac{q B^2 d^2}{ 8 V}


Option: 4

\frac{q B d}{2 V}


Answers (1)

best_answer

\begin{aligned} & q v=\frac{1}{2} m v^2=k \cdot E \\ & \frac{d}{2}=\sqrt \frac{\2 m q v}{q B} \\ & m=\frac{q B^2 d^2}{8 v} \end{aligned}

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