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The radiation emitted when an electron jumps from n = 3 to n = 2 orbit in a fixed hydrogen atom, falls on a photo metal to produce photo electrons. The electrons from the metal surface with the maximum kinetic energy are made to move perpendicular to a magnetic field of $3 \times 10^{- 4} T$ in a radius of 10mm. choose the correct statement (s)

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The maximum KE of the electrons is 0.8 eV

The maximum KE of the electrons is 0.16 eV

The work function of metal is 1 eV (Approximately)

The work function of the metal is 2eV (Approximately)

answer is A, C.

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Detailed Solution

Using $m v = q B r,$ we get $p = m v = 4.8 \times 10^{- 25},$ then use $K . E = \frac{p^{2}}{2 m} .$ Then, transition energy is around 1.9 eV. So, work function shall be close to 1eV

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