When the wavelength of radiation falling on a metal is changed from 500nm to 200 nm, the maximum kinetic energy of the photoelectrons becomes three times larger. The work function of the metal is close to

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$1.296 \times 10^{- 19} J$

$0.832 \times 10^{- 19} J$

$0.976 \times 10^{- 19} J$

$1.632 \times 10^{- 19} J$

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Using Equation, $E_{n} = \frac{- 13.6}{n^{2}} eV$

$\begin{array}{l} K E_{max} = \frac{h c}{λ} - ϕ = \frac{h c}{500} - ϕ \dots . . (1) \\ 3 K E_{max} = \frac{h c}{200} - ϕ \dots . . (2) \\ d e v i d i n g (2) b y (1), \\ \frac{3 K E_{max}}{K E_{max}} = \frac{3}{1} = \frac{\frac{h c}{200} - ϕ}{\frac{h c}{500} - ϕ} \end{array}$

Putting, hc=1237.5,

work function $ϕ = 0.976 \times 10^{- 19} J$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th