Light of wavelength `2475 Å` is incident on barium. Photoelectrons emitted describe a circle of radius `100 cm` by a magnetic field of flux density `(1)/(sqrt(17)) xx 10^(-5) Tesla`. Work function of the barium is (Given `(e )/(m) = 1.7 xx 10^(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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