Question:
Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii R₁ and R₂ respectively. The ratio of masses of X and Y is
Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii R₁ and R₂ respectively. The ratio of masses of X and Y is
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Magnetic radius after acceleration depends on square root of mass.
Updated On: Mar 20, 2026
- \( \left(\dfrac{R_1}{R_2}\right)^{1/2} \)
- \( \left(\dfrac{R_2}{R_1}\right)^{1/2} \)
- \( \left(\dfrac{R_1}{R_2}\right)^2 \)
- ((R₂)/(R₁))²
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The Correct Option is C
Solution and Explanation
Step 1: From acceleration through potential V: (1)/(2)mv² = qV ⟹ v = √((2qV)/(m))
Step 2: Radius in magnetic field: R = (mv)/(qB) ⟹ R ∝ √(m)
Step 3: Hence, (mX)/(mY) = ((R₁)/(R₂))²
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