KVPY2020PhysicsMagnetic Effects of Current
A beam of neutrons performs circular motion of radius, r = 1   m , under the influence of an inhomogeneous magnetic field with inhomogeneity extending over Δ r = 0 . 01   m . The speed of the neutrons is 54   ms - 1 . The mass and magnetic moment of the neutrons respectively are 1 . 67 × 10 - 27   kg and 9 . 67 × 10 - 27   J / T . The average variation of the magnetic field ove
Options
- A0 . 5   T
- B1 . 0   T
- C5 . 0   T
- D10 . 0   T
Correct answer
C. 5 . 0   T
Step-by-step solution
F = M ∂ B ∂ r = m v 2 r ΔB= m v 2 M r Δ r = 1 . 67 × 10 - 27 × 54 2 × 0 . 01 9 . 67 × 10 - 27 × 1 = 5 . 03   T