Question

If kinetic energy of a particle is doubled .what will happen to de broglie wavelength as compared to previous de broglie wavelength.

Answer 1

If the kinetic energy of a particle is doubled the deBroglie wavelength decreases by a 1/ $\sqrt{2}$ units.

Explanation:

Debroglie wavelength=h/mv   h= Planck's constant, m is the mass of the particle, v is the velocity of particle moving.

DeBroglie's equation

λ = h/mv

also Kinetic energy is given by

E = p^2/(2m)    p the momentum and p=mV

So from the above equation we can conclude that p is proportional to $\sqrt{KE}$

Also, seeing from DeBroglie equation we found that

wavelength is decreased by 1/ $\sqrt{2}$ units.

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