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Dual Nature of Radiation and Matter question

2012 · Q145
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Dual Nature of Radiation and Matter question

2012 · Q145

NEETPhysicsDual Nature of Radiation and MatterMCQ+4 / −1
Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be 3.57 V. The threshold frequency of the material is
  1. A
    4 ×\times× 1015 Hz
  2. B
    5 ×\times× 1015 Hz
  3. C
    1.6 ×\times× 1015 Hz
  4. D
    2.5 ×\times× 1015 Hz
View written solutionFree

Correct answer: C

Energy released from first exited state to the ground state :

E = (– 3.4) – (– 13.6) = 10.2 eV

Work function ϕ\phi ϕ = E – 3.75 eV = (10.2 – 3.75) eV

= 6.63 eV

⇒\Rightarrow⇒ hν0{\nu _0}ν0​ = 6.63

⇒\Rightarrow⇒ ν0{\nu _0}ν0​ = 6.63×1.6×10−196.63×10−34{{6.63 \times 1.6 \times {{10}^{ - 19}}} \over {6.63 \times {{10}^{ - 34}}}}6.63×10−346.63×1.6×10−19​ = 1.6 ×\times× 1015 Hz

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