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Based on the equation: ▵E = -2.0 x 10^-18J the wavelength of the light that must be absorbed to excite hydrogen electron from level n = 1 to level n = 2 will be:

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Based on the equation:

▵E = -2.0 x 10-18J (\(\frac{1}{n_2^2}- \frac{1}{n_1^2}\))

the wavelength of the light that must be absorbed to excite hydrogen electron from level n = 1 to level n = 2 will be:

(h = 6.625 × 10-34 Js, C = 3 × 108 ms-1)

(a) 1.325 × 10-7 m

(b) 1.325 × 10-10 m

(c) 2.650 × 10-7 m

(d) 5.300 × 10-10 m

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Correct answer: (a) 1.325 × 10-7 m

Explanation:

▵E = -2.0 x 10-18J (\(\frac{1}{n_2^2}- \frac{1}{n_1^2}\))

= -2.0 x 10-18 x \(\frac{-3}{4}\)

= 1.5 x 10-18

▵E = \(\frac{hc}{\lambda}\)

\(\lambda = \frac{hc}{\triangle E}\)

= \(\frac{6.6 \times 10^{-34} \times 3 \times 10^8}{1.5 \times 10^{-18}}\)

= 1.325 × 10-7 m

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