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Light of wavelength 2475 Å is incident o...

Light of wavelength 2475 Å is incident on barium . Photo electrons emitted describe a circle of radius 100 cm by a magnetic field of flux density `1/sqrt17xx10^(-5)` tesla. Find the work function of the barium . (Given `e/m=1.7xx10^11`)

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Radius of circular path described by a charged particle in a magnetic field is given by
` t = sqrt((2mk)/(qB)) rArr k = (q^(2) B^(2) r^(2))/(2m) = (e/m) (eB^(2) r^(2))/(2) `
` = (1)/(2) xx 1.7 xx 10^(11) xx 1.6 xx 10^(-19) xx ((1)/(sqrt(17)) xx 10^(-5))^(2) xx (1)^(2)`
` 8 xx 10 ^(-20) J = 0.5 eV `
` E = phi + K_(max) `
` phi = E - K_(max)`
` = (12375)/(2475) eV - 0.5 eV = 4.5 eV `
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