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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
Options
(a) 1/R²
(b) R²
(c) R
(d) 1/R
Correct Answer:
1/R²
Explanation:
In mass spectrometer, when ions are accelerated through potential V
1/2 mv² = qV …..(i)
As the magnetic field curves the path of the ions in a semiciruclar orbit
Bqv = mv² / R v = BqR / m ….(ii)
Substituting (ii) and (i)
1/2 m[ BqR / m]² = qv or q/m = 2V / B²R²
Since V and B are constants, q/m ∞ 1/R²
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Topics: Magnetic Effects of Current and Magnetism
(167)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A pellet of mass 1 g is moving with an angular velocity of 1 rad/s along a circle
- Length of a string tied to two rigid supports is 40 cm. Maximum length
- P-type semiconductors are made by adding impurity element
- If the radius of star is R and it acts as a black body, what would be the temperature
- Zenor diode is used for
Topics: Magnetic Effects of Current and Magnetism (167)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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