An object absorbs energy corresponding to wavelength 2400 Ao and emits two different radiations. The wavelength of one radiation is 6000 Ao. What is the wavelength of the other radiation?

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An object absorbs energy corresponding to wavelength 2400 $\overset{o}{A}$ and emits two different radiations. The wavelength of one radiation is 6000 $\overset{o}{A}$ . What is the wavelength of the other radiation?

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4000 A⁰

2000 A⁰

3000 A⁰

5000 A⁰

answer is A.

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Detailed Solution

$\begin{array}{l} \frac{1}{λ_{1 (emitted)}} + \frac{1}{λ_{2 (emitted)}} = \frac{1}{λ_{(absorbed)}} \\ \begin{aligned} \frac{1}{λ_{2 (emitted)}} & = \frac{1}{2400} - \frac{1}{6000} \\ = \frac{6000 - 2400}{2400 \times 6000} \\ \frac{1}{λ_{2}} = \frac{3600}{2400 \times 6000} \end{aligned} \\ λ_{2} = 4000 Å \end{array}$