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Two ions of masses 4 amu and 16 amu have charges +2e and +3e respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then

Asked in JEE Main 27th Aug 1st Shift 2021 · Circular motion: radius, period and energy

• (1) lighter ion will be deflected less than heavier ion
• (2) lighter ion will be deflected more than heavier ion
• (3) both ions will be deflected equally
• (4) no ion will be deflected.

Step-by-step solution

Why the other options are wrong

• (1) Compares only masses or only charges, not √m/q.
• (3) Assumes equal kinetic energy gives equal radius regardless of m and q.
• (4) Forgets that a perpendicular magnetic field always bends a moving charge.

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