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Q.

In a photocell bichromatic light of wavelength 2475 Ao and 6000 Ao are incident on cathode whose work function is 4.8 eV. If a uniform magnetic field of 3 x 10-5 Tesla exists parallel to the plate, the radius of the path describe by the photoelectron will be (mass of electron = 9 x 10-31 kg)

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a

1 cm

b

5 cm

c

10 cm

d

25 cm

answer is B.

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Detailed Solution

Energy of photons corresponding to light of wave

lengthλ1=2475Ao  is  E1=123752475=5eVand  that  corresponding  to  λ2=6000  Ao  isE2=123756000=2.06eVAs  E2<Wo  and  E1>WoPhotoelectric  emission  is  possible  with  λ1  only.Maximum  kinetic  energy  of  emitted  photoelectrons  K=EWo=54.8=0.28eV.Photo  electrons  experiences  magnetic  forceand  move  along  a  circular  path  of  radiusr=2mkQB2×9×1031×0.2×1.6×10191.6×1019×3×105=0.05  m=5  cm

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