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Electrolysis and Electrolytes

102.In a mass...

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102.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 paths of radius R using a magnetic field B. If V and B are kept constant, the ratio charge on the ion to mass of the ion will be proportional to

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Q. 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 paths of radius R using a magnetic field B. If V and B are kept constant, the ratio

(\frac{C h a r g e o n t h e i o n}{m a s s o f t h e i o n})

will be proportional to

Q. In a certain mass spectrometer, the magnetic field has a magnitude of

0.2 T

. It is intended that this spectrometer be used to separate two isotopes of Uranium,

U_{235}

(

= 3.90 \times 10^{- 25} kg)

U_{238}

(

= 3.95 \times 10^{- 25} kg)

. In order to be separate the radii of curvature described by singly charged

(

+ e)

ions must differ by

2 mm

. What will be the electric potential through which the ions must be accelerated in order to achieve this.

Q. In a mass spectrograph mass number and charge of ion A are 24 and +2e respectively. Mass number and charge of ion B are 22 and +e. If both ions has same speed and the radius of path traced by ion A is 24 cm then radius of path traced by ion B will be

Q. Fe⁺ ions are accelerated through a potential difference of 500 V and are injected normally into a homogeneous magnetic field B of strength 20.0 mT. Find the radius of the circular paths followed by the isotopes with mass numbers 57 and 58. Take the mass of an ion = A (1.6 × 10⁻²⁷) kg, where A is the mass number.

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