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AP EAMCET2001PhysicsDual Nature of Matter

Photoelectric emission is observed from a metallic surface for frequencies v₁ and v₂ of the incident light rays (v₁>v₂ ) . If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of 1: k , then the threshold frequency of the metallic surface is

Options

  1. Av₂-v₁ k-1
  2. Bk v₁-v₂ k-1
  3. Ck v₂-v₁ k-1
  4. Dv₂-v₁ k

Correct answer

B. k v₁-v₂ k-1

Step-by-step solution

Maximum kinetic energy of photoelectrons ( KE )_ =h v-h v₀v= frequency of incident radiation v₀= threshold frequency Ist Case ( KE _ )₁=h v₁-h v₀ IInd Case ( KF _ )₂=h v₂-h v₀ aligned ( KE _ )₁ ( KE _ )₂ & = h (v₁-v₀ ) h (v₂-v₀ ) 1 k & = v₁-v₀ v₂-v₀ v₂-v₀ & =k v₁-k v₀ k v₀-v₀ & =k v₁-v₂ v₀ & = k v₁-v₂ k-1 aligned

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