CUET · PHYSICS · PYQ PAPER 2025
Two particles \( P_1 \) and \( P_2 \), having equal charges accelerated by the same potential difference enter a region of uniform magnetic field and describe circular paths of radii \( R_1 \) and \( R_2 \), respectively. The ratio of the mass of \( P_1 \) to that of \( P_2 \) will be
- A \( \left( R_1/R_2 \right)^2 \)
- B \( R_1/R_2 \)
- C \( (R_1/R_2)^{0.5} \)
- D \( \left( R_2/R_1 \right)^2 \)
Answer & Solution
Correct Answer
(A) \( \left( R_1/R_2 \right)^2 \)
Step-by-step Solution
Detailed explanation
\(KE = qV\) \(KE = \frac{1}{2}mv^2\) \(\frac{1}{2}mv^2 = qV \Rightarrow v = \sqrt{\frac{2qV}{m}}\) \(R = \frac{mv}{qB} \Rightarrow R = \frac{m}{qB} \sqrt{\frac{2qV}{m}} = \frac{1}{qB} \sqrt{2mqV}\) \(R^2 = \frac{2mqV}{q^2B^2} = \frac{2mV}{qB^2}\) \(m = \frac{R^2 qB^2}{2V}\)…
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