JEE Main 2024 Physics question

PhysicsMoving Charges and MagnetismJEE Main 2024

Two particles X and Y having equal charges are being accelerated through the same potential difference. Thereafter they enter normally in a region of uniform magnetic field and describes circular paths of radii R₁ and R₂ respectively. The mass ratio of X and Y is :

Answer: (A)

Solution

qV = K and r = √(2mK)/(qB) = √(2mqV)/(qB), so r ∝ √m. Hence R₁/R₂ = √(m₁/m₂) and m₁/m₂ = (R₁/R₂)².

Question ID VK-016762