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

de Broglie wavelength, λ=h2mKwhere m is the mass and K is the kinetic energy of the particle. When kinetic energy of the particle is increased to 16 times, then its de Broglie wavelength becomes,λ'=h2m(16K)=14λ2mK=λ4             (Using (i))% change in the de Broglie wavelength =λ-λ'λ×100=1-λ'λ×100=1-14×100=75%