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  • The work function of sodium metal is  , if photons of wavelength 300 nm are incident on the metal , the Kine

The work function of sodium metal is 4.41\times 10^{-19} j , if photons of wavelength 300 nm are incident on the metal , the Kinetic Energy of the ejected electrons will be (h = 6.63\times 10^{-54}js ; c = 3\times 10^{8} ms ) ___________ \times 10^{-21}J
 

Answers (1)

best_answer

We have:

Wo = 4.41 x 10-19J

hv = hvo + K.E

Thus, we have:

\\\mathrm{\frac{hc}{\lambda }\: =\: 4.41\: x\: 10^{-19}\: +\: K.E}\\\mathrm{K.E\: =\: \frac{hc}{\lambda }\: -\: 4.41\: x\: 10^{-19}}\\\\\mathrm{K.E\: =\: \frac{6.63\: x\: 10^{-34}\: x\: 3\: x\: 10^{8}}{300\: x\: 10^{-9}}\: -\: 4.41\: x\: 10^{-19}}\\\\\mathrm{K.E\: =\: 6.63\: x\: 10^{-34}\: x\: 10^{15}\: -\: 4.41\: x\: 10^{-19}}\\\\\mathrm{K.E\: =\: 222\: x\: 10^{-21}J}

Thus, the correct answer is 222.

Posted by

Kuldeep Maurya

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