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CUET · PHYSICS · PYQ PAPER 2023

An electron having charge \( 1.6 \times 10^{-19} \text{ C} \) and mass \( 9 \times 10^{-31} \text{ kg} \) is moving with \( 4 \times 10^6 \text{ m/s} \) speed in a magnetic field \( 2 \times 10^{-1} \text{ T} \) in a circular orbit. The force experienced by the electron and the radius of the circular orbit, respectively will be:

  1. A \( 1.28 \times 10^{-14} \text{ N, } 1.1 \times 10^{-3} \text{ m} \)
  2. B \( 1.28 \times 10^{-15} \text{ N, } 1.2 \times 10^{-12} \text{ m} \)
  3. C \( 1.28 \times 10^{-13} \text{ N, } 1.1 \times 10^{-4} \text{ m} \)
  4. D \( 1.28 \times 10^{-12} \text{ N, } 1.1 \times 10^{-5} \text{ m} \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( 1.28 \times 10^{-13} \text{ N, } 1.1 \times 10^{-4} \text{ m} \)

Step-by-step Solution

Detailed explanation

\( F = qvB \) \( F = (1.6 \times 10^{-19}) \times (4 \times 10^6) \times (2 \times 10^{-1}) = 1.28 \times 10^{-13} \text{ N} \) \( r = \frac{mv}{qB} \)…
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