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JEE Advanced levelSingle correct optionDifficulty 3 of 3as041

Light of wavelength falls on a metal of work function . The fastest photoelectrons enter a uniform magnetic field of perpendicular to their velocity. Use , , , . The radius of their circular path is closest to

  1. A3.38 mm
  2. B4.78 mm
  3. C9.57 mm
  4. D0.00 m

Answer: B

Photon energy = 6.212 eV, so = 6.212 - 4.2 = 2.012 eV = 3.219e-19 J. v = sqrt(2K/m) = 8.411e+05 m/s. r = mv/(eB) = (9.1e-31)(8.411e+05)/((1.6e-19)(1e-3)) = 4.784e-03 m = 4.78 mm.
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