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AP EAMCET · Chemistry · Structure of Atom

A light of frequency \(1.6 \times 10^{16} \mathrm{~Hz}\) when falls on a metal plate emits electrons that have double the kinetic energy compared to the kinetic energy of emitted electrons when frequency of \(1.0 \times 10^{16} \mathrm{~Hz}\) falls on the same plate. The threshold frequency \(\left(v_0\right)\) of the metal in \(\mathrm{Hz}\) is

  1. A \(1 \times 10^{15}\)
  2. B \(4 \times 10^{15}\)
  3. C \(3 \times 10^{15}\)
  4. D \(4 \times 10^{13}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(4 \times 10^{15}\)

Step-by-step Solution

Detailed explanation

When \(1.6 \times 10^{16} \mathrm{~Hz}\) frequency falls on metal plate than double kinetic energy obtained. \[ h\left(1.6 \times 10^{16}-v_0\right)=2 \mathrm{~K} . \mathrm{E} \longrightarrow \text { Eq. (i) } \] When \(1.0 \times 10^{16} \mathrm{~Hz}\) frequency falls on same…