Q.
Calculate de Broglie wavelength of an electron travelling at 1% of the speed of light
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a
2.73 × 10−24
b
2.42 × 10−10
c
242.2 × 1010
d
None of these
answer is B.
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Detailed Solution
One percent of the speed of light isv=1100 3.00 × 108 ms−1=3.00 × 106 ms−1Momentum of the electron p =mv=9.11 × 10−31 kg 3.00 × 106 ms−1=2.73 × 10−24 kg ms−1The de−Broglie wavelength of this electron isλ=hp = 6.626 × 10−342.73 × 10−24 kgms−1λ=2.424 × 10−10 m.
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