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COMEDK · Physics · 27. Dual Nature of Matter

Let \(K_1\) be the maximum kinetic energy of photoelectrons emitted by light of wavelength \(\lambda_1\) and \(K_2\) corresponding to wavelength \(\lambda_2\). If \(\lambda_1=2 \lambda_2\), then

  1. A \(K_1=2 K_2\)
  2. B \(K_1 < K_2 / 2\)
  3. C \(2 K_1=K_2\)
  4. D \(K_1>2 K_2\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(K_1 < K_2 / 2\)

Step-by-step Solution

Detailed explanation

According to Einstein's photoelectric equation, the maximum kinetic energy \(K\) of emitted photoelectrons is given by \(K = \dfrac{hc}{\lambda} - \phi\), where \(\phi\) is the work function of the metal. For wavelength \(\lambda_1\), \(K_1 = \dfrac{hc}{\lambda_1} - \phi\). For…