Dual Nature of Radiation and Matter - Result Question 8

8. If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is :

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======= ####8. If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is :

c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) 25

(b) 75

(c) 60

(d) 50

[2014]

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Answer:

Correct Answer: 8. (b)

Solution:

(b) As we know

λ=hP=h2mK(P=2mKE) or λ1λ2=K2K1=16KK=41

Therefore the percentage change in de-Broglie

wavelength =144×100=75



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