Answer is: the maximum wavelength of light is 7.34 × 10⁻⁷ m.
E= 163 kJ/mol; bond energy of one mole of nitrogen.
E = 163000 J/mol ÷ 6.022·10²³ 1/mol.
E = 2.707·10⁻¹⁹ J; bond energy per molecule.
E = h·c/λ.
c = 3.00 × 10⁸ m/s; light speed.
h = 6.62607004·10⁻³⁴ J·s; Planck constant.
λ(photon) = h·c/E.
λ(photon) = 6.62607004·10⁻³⁴ J·s · 3.00 × 10⁸ m/s ÷ 2.707·10⁻¹⁹ J.
λ(photon) = 7.34 × 10⁻⁷ m.
λ(photon) = 734 nm.
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There are three perfect squares in a standard die; 1, 2, 4. If there is two standard dies, then the probability of getting a perfect square is 1/3 x 1/3 = 1/9.
There are 4 numbers less than 5 in a standard die, making it 1/4 x 1/4=1/16.
22 + 9 = 31
31 - 17.2 = 13.8
13.8 > 10 so student's guess is wrong
So the 3rd box.