Q. 355.0( 1 Vote )
Doubly ionized he
Answer :
Given-
Speed of the helium ions, v = 10 km s−1 = 104 m/s
Uniform magnetic field, B = 1.0 T
Charge on the helium ions = 2e
Mass of a helium ion, m = 4×1.6×10-27 Kg
(a) The force acting on an ion –
Magnetic force, we know, Lorentz force F is given by -
where,
e = charge on an electron
v = velocity of the electron
B=magnetic field
θ= angle between B and v
(b) The radius of the circle is given by,
where,
m is the mass of a proton
v= velocity of the particle
B = magnetic force
q= charge on the particle
(c) The time taken by an ion to complete the circle,
we know
Since the total time taken for a complete cycle will be its circumference and the velocity is V -
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