If the velocity of a particle is increased three times, then the percentage decrease in its de Broglie wavelength will be :
33.3%
66.6%
99.9%
22.2%
A
33.3%
B
66.6%
C
99.9%
D
22.2%
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Solution
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Wavelength, λ=hmv
λ′=h3mv
λ′λ=13
λ′=λ3
Δλ=λ−λ3
=2λ3
=66.6% decrease inλ
So, the answer is option (B).
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