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JEE Advanced levelNumerical answerDifficulty 3 of 3as049

A metal has threshold wavelength . Light of wavelength falls on it. Find the speed of the fastest photoelectrons in units of , to one decimal. Use , , .

Numerical answer type, answer in x 10^5 m/s, tolerance 0.1.

Answer: 9.3 x 10^5 m/s

= = 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 m/s.
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