Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
\[{{H}^{+}},H{{e}^{+}}\]and\[{{O}^{++}}\]ions having same kinetic energy pass through a region of space filled with uniform magnetic field B directed perpendicular to the velocity of ions. The mass of the ions\[{{H}^{+}},H{{e}^{+}}\]are\[{{O}^{++}}\]respectively in the ratio 1: 4:16. As a result (1) \[{{H}^{+}}\]ion will be deflected most (2)\[{{O}^{++}}\]ions will be deflected least (3)\[H{{e}^{+}}\]and\[{{O}^{++}}\]ions will suffer same deflection (4) All ions will suffer the same deflectionA) 1, 2 and 3 are correct.
B) 1 and 2 are correct.
C) 2 and 4 are correct.
D) 1 and 3 are correct.
Correct Answer: D
Solution :
\[r\propto \frac{\sqrt{m}}{q}\] \[\Rightarrow \] \[{{r}_{H}}:{{r}_{He}}:{{r}_{O}}=\frac{\sqrt{1}}{1}:\frac{\sqrt{4}}{1}:\frac{\sqrt{16}}{2}=1:2:2\] Radius is smallest for\[{{H}^{+}}\]so it is deflected most.
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