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← JEE Main 2014 · 19 Apr · Shift 1
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JEE Main 2014 · 19 Apr · Shift 1, Chemistry question 31

Ionization energy of gaseous Na atoms is 495.5 kJmol−1^{-1}. The lowest possible frequency of light that ionizes a sodium atom is (h=6.626×10−34h=6.626\times10^{-34} Js, NA=6.022×1023N_A=6.022\times10^{23} mol−1^{-1})

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Answer and worked solution

Official answer: D

Energy per atom: 495.5×1036.022×1023=8.23×10−19\dfrac{495.5\times10^3}{6.022\times10^{23}}=8.23\times10^{-19} J.
ν=Eh=8.23×10−196.626×10−34≈1.24×1015 s−1.\nu=\frac Eh=\frac{8.23\times10^{-19}}{6.626\times10^{-34}}\approx1.24\times10^{15}\text{ s}^{-1}.