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The mass of hydrogen atom is 1.66×10^–24 g. and Planck's constant is 6.64 × 10^–27erg-sec. The de Broglie wavelength of a hydrogen atom moving with a velocity half that of light is

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2.66 × 10^–13A°

2.66 × 10^–5A°

2.66 × 10^–27A°

2.66 × 10^–10A°

answer is A.

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Detailed Solution

$λ = \frac{h}{m v} = \frac{6.626 \times 10^{- 34}}{1.66 \times 10^{- 27} \times \frac{3}{2} \times 10^{8}} = 2.66 \times 10^{- 5} A^{o} .$

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