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Q.

A light beam of wavelength 500 nm is incident on a metal having work function of 1.25 eV, placed in a magnetic field of intensity B. The electron emitted perpendicular to the magnetic field B, with maximum kinetic energy are bent into circular arc of radius 30 cm. The value of B is___ $\times 10^{- 7} T$ .
Given $h c = 20 \times 10^{- 26} J - m$ , mass of electron $= 9 \times 10^{- 31} kg$

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answer is 125.

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Detailed Solution

By photoelectric equation $\frac{h c}{λ} - ϕ = k_{max}$

$k_{max} = \frac{1240}{500} - 1.25 \approx 1.25$

$r = \frac{\sqrt{2 m k}}{e B} B = \frac{\sqrt{2 m k}}{e r} = 125 \times 10^{- 7} T$

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A light beam of wavelength 500 nm is incident on a metal having work function of 1.25 eV, placed in a magnetic field of intensity B. The electron emitted perpendicular to the magnetic field B, with maximum kinetic energy are bent into circular arc of radius 30 cm. The value of B is___×10−7T.Given hc=20×10−26J−m, mass of electron =9×10−31kg