A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 x 106 ms -1. The velocity of the particle is
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a
2.7 x 10-18 ms-1
b
9 x 10-2 ms-1
c
3 x 10-31 ms-1
d
2.7 x 10-21 ms-1
answer is A.
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Detailed Solution
Wavelength of a particle is given by λ=hpWhere h is Planck's constant.Wavelength of an electron is given by λe=hpeBut λ=λeSo, p=peor mv=meve or v=mevemPutting the under given datame=9.1×10−31kg,ve=3×106m/s,m=1 mg=1×10−6kgv=9.1×10−31×3×1061×10−6=2.7×10−18ms−1