AIPMT PRELIMS2007Physics-Electromagnetism

AIPMT PRELIMS 2007 Physics Mass Spectrometer MCQ Question

Type: MCQ-numerical-Medium-Class 12

In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential V and then made to describe semicircular path of radius R using a magnetic field B. If V and B are kept constant, the ratio (charge on the ion / mass of the ion) will be proportional to

A

1/R²

B

C

R

D

1/R

Correct Answer

Option A

Detailed Explanation

The radius of the path in a mass spectrometer is given by R = mv/qB. Solving for q/m gives q/m ∝ 1/R².

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