JEE Advanced levelNumerical answerDifficulty 3 of 3as049
A metal has threshold wavelength 280nm. Light of wavelength 180nm falls on it. Find the speed of the fastest photoelectrons in units of 105ms−1, to one decimal. Use h=6.626×10−34Js, c=3.0×108ms−1, me=9.1×10−31kg.
Numerical answer type, answer in x 10^5 m/s, tolerance 0.1.
Answer: 9.3 x 10^5 m/s
Kmax = hc(1/λ−1/λ0) = 1.9878e-25 x (5.5556e+06 - 3.5714e+06) = 3.9440e-19 J. v = sqrt(2K/m) = sqrt(2 x 3.9440e-19/9.1e-31) = 9.310e+05 m/s = 9.3 x 105 m/s.