Q 12-11-130JEE MainJEE Main 2021 (26 Feb, Shift 2)Easy
Two streams of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is $x : 3$. The value of $x$ is
Numerical value type. Enter your answer.
Answer: 1
$K_1 = 2\phi - \phi = \phi$, $K_2 = 10\phi - \phi = 9\phi$.
$\dfrac{v_1}{v_2} = \sqrt{\dfrac{K_1}{K_2}} = \sqrt{\dfrac{1}{9}} = \dfrac{1}{3}$, so $x = 1$.
Solution by Sreeraj P, M.Sc Physics