Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A photon is incident having frequency $1 \times 10^{14} \mathrm{sec}^{-1}$. Threshold frequency of metal is $5 \times 10^{13} \mathrm{sec}^{-1}$. Find the kinetic energy of the ejected electron.
PhysicsDual Nature of MatterAIIMSAIIMS 2012
Options:
  • A $3.3 \times 10^{-21} \mathrm{~J}$
  • B $6.6 \times 10^{-21} \mathrm{~J}$
  • C $3.3 \times 10^{-20} \mathrm{~J}$
  • D $6.6 \times 10^{-20} \mathrm{~J}$
Solution:
1769 Upvotes Verified Answer
The correct answer is: $3.3 \times 10^{-20} \mathrm{~J}$
The relation between kinetic energy,
threshold frequency and frequency of photon is given as
$\frac{1}{2} m v^2=\left(h v-h v_0\right)$
$=h\left(1 \times 10^{14}-5 \times 10^{13}\right)$
$k=h\left(5 \times 10^{13}\right)$
$=6.67 \times 10^{-34} \times 5 \times 10^{13}$
$=3.3 \times 10^{-20} \mathrm{~J}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.