2. A beam of singly ionized uranium atoms (25U and 239U) is injected into the ma

Question

2. A beam of singly ionized uranium atoms (25U and 239U) is injected into the mass spectrometer shown in the figure. The ions all have the same velocities and charges. The2U ions follow the trajectory shown. Will the 2SU ions strike the plate above, below or at the same location as the 238U ions? (a) above (b) below (c) same location 3. What is the direction of current flow in resistor ab with the switch closed and the resistance of the variable resistor R increasing? (a) left (b) right (c) no current flows (d) it cannot be determined

Explanation / Answer

2. The correct option is (a) above.

The radius of the circular path followed by the charged particle is given by r = m v / (q B), where m, v, q and B are the mass, velocity, charge and magnetic field respectively. As the charge mass and velocity is contant for both 235U and 238U, so the particle having higher mass will have bigger radius. So for 235U, the mass is smaller, radius will be smaller and eventually appear above 238U.

3. The correct option is (a) left.

When the raistance increase, the current drops in the circuit. This will produce changing magnetic field in the bigger loop. This will induce magnetic field in the opposite direction in the smaller loop which eventually generate emf. This emf leads to the current flow in the resistor r. The direction will be from b to a.

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