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Q.

The speed of a photon is one hundredth of the speed of light in vacuum. What is the de Broglie wavelength ? Assume that one mole of protons has a mass equal to one gram. $h = 6 .626 \times 10^{- 27} erg \sec$

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a

$1 .33 \times 10^{- 3} A^{o}$

b

$3 .31 \times 10^{- 3} A^{o}$

c

$3 .13 \times 10^{- 2} A^{o}$

d

$1 .31 \times 10^{- 2} A^{o}$

answer is B.

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Detailed Solution

$\begin{array}{l} m = \frac{1}{6 .023 \times 10^{23}} g \\ λ = \frac{h}{mv} \\ = \frac{6 .626 \times 10^{- 27}}{1 \times 3 \times 10^{8} cm \sec^{- 1}} \times 6 .023 \times 10^{23} \\ = 1 .33 \times 10^{- 11} cm = 1.33 \times 10^{- 3} A^{0} \end{array}$

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