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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  ×  10−27  erg  sec

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a

3.31  ×  10−3Ao

b

1.33  ×  10−3Ao

c

3.13  ×  10−2Ao

d

1.31  ×  10−2Ao

answer is B.

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Detailed Solution

m=16.023  ×  1023gλ=hmv=6.626  ×  10−271  ×3 × 108 cm  sec−1 ×  6.023  ×  1023=1.33  ×  10−11  cm =1.33×10-3A0
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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  ×  10−27  erg  sec