Atomic StructureHard

Question

When an electron jumps from nth orbit to 1st orbit in an imaginary atom obeying Bohr’s model, it emits two radiations of wavelengths 400 nm and 300 nm. The frequency of radiation emitted out in the transition n = n to n = 1 will be

Options

A.7.5 × 1014 Hz
B.1.0 × 1015 Hz
C.8.75 × 1014 Hz
D.1.75 × 1015 Hz

Solution

$\upsilon = \frac{c}{\lambda} = c\left( \frac{1}{\lambda_{1}} + \frac{1}{\lambda_{2}} \right) = 3 \times 10^{8}\left( \frac{1}{400 \times 10^{- 9}} + \frac{1}{300 \times 10^{- 9}} \right) = 1.75 \times 10^{5}\text{ Hz}$

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