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In \( \mathrm{H} \)-atom, if ' \( \mathrm{x} \) ' is the radius of the first Bohr orbit, de Broglie wavelength of an electron in the \( 3^{\mathrm{rd}} \) orbit is:
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The correct answer is:
\( 6 \pi \mathrm{x} \)
According to the Bohr model, the first radius for hydrogen atom:
The third radius of the Bohr model:
Hence, the de Broglie wavelength:
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