A photon of energy 10 units ejects a photo-electron from a metal… | MHT CET 2026 (12 May, Shift 1)

Q29MHT CET 2026 · 12 MAY · SHIFT 1Difficult

Photoelectric Effect: Einstein's Equation

A photon of energy $10$ units ejects a photo-electron from a metal surface whose work function is $\Phi_0$ . If an electron(e) having maximum kinetic energy enters into a uniform magnetic field of induction(B) in a direction perpendicular to the field and describes a circular path of radius R, then radius R is { $m =$ mass of electron}

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Answer: (c)

$K_{max} = 10 - \Phi_0$ , and momentum $p = \sqrt{2mK_{max}}$ .
In the field $evB = \frac{mv^2}{R} \Rightarrow R = \frac{p}{eB}$
So the answer is (c) $R = \frac{\sqrt{2m(10 - \Phi_0)}}{eB}$ .

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