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NEET 2007
Exam
NEET
Year
2007
Subject
Physics
Chapter
Magnetic Effects of Current

NEET 2007 · Physics · Magnetic Effects of Current

In a mass spectrometer for measuring the masses of ions, the ions...

In a mass spectrometer for measuring the masses of ions, the ions are initially accelerated by an electric potential V and then made to describe semicircular paths of radius RR using a magnetic field BB. If VandBV and B are kept constant, the ratio \left(\frac{\text{ charge onthetheion }}{\text{ mass of the ion }}\right)$ will be proportional to:

Options

  1. A1R2\frac{1}{R^2}
  2. BR2R^2
  3. CRR
  4. D1R\frac{1}{R}

Correct answer

A. 1R2\frac{1}{R^2}

Step-by-step solution

Radius of semicircular path R=mvqB=2mqVqBR=\frac{m v}{q B}=\frac{\sqrt{2 m q V}}{q B} As VandBV and B are constant so R∝mqq⇒qm∝1R2\begin{aligned} & R \propto \frac{\sqrt{m q}}{q} \\ & \Rightarrow \frac{q}{m} \propto \frac{1}{R^2} \end{aligned}
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