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Q.

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

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a

60

b

25

c

50

d

75

answer is B.

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Detailed Solution

As we know

λ=hp=h2mK   (∵ p=2mK)

or,  λ2λ1=K1 K2=K1 16K1=14

Therefore the percentage change in de-Broglie wavelength =14-1×100%=-75%

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