I really struggling the question can you help me please
1 answer:
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Answer:
(a) 120 eV
(b) 12.840 keV
(c) 0.466%
Solution:
As per the question:
The potential difference between the dees, V = 120 V
No. of passes, n = 107
Now,
(a) The potential energy can be given as 'qV' but by the principle of conservation of energy, this energy with each pass is converted into the kinetic energy of the particle which is given as 120 eV
Thus
The increase in Kinetic energy,
(b) Kinetic energy on completion of 107 passes is given by:
(c) The velocity of the particle can be calculated from its kinetic energy:
Thus
Thus radius can be given as:
where
B = Magnetic field
= mass of proton
Therefore, we can write that:
Thus the percentage increase in radius from n = 107 to n = 108 is given by:
= 0.466 %