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The de-Broglie wavelength of a moving particle of mass m and energy E is

Question and options

The de-Broglie wavelength of a moving particle of mass m and energy E is
  1. 2mE\sqrt{2mE}
  2. h2mE\frac{h}{\sqrt{2mE}}
  3. h2mET\frac{h}{\sqrt{2mET}}
  4. hmE\frac{h}{mE}

Answer and explanation

Correct answer: B - \(\frac{h}{\sqrt{2mE}}\)
λ=h/p\lambda = h/p and p=2mEp = \sqrt{2mE} for kinetic energy E=p2/2mE = p^2/2m, so λ=h/2mE\lambda = h/\sqrt{2mE}. 2mE\sqrt{2mE} lacks h, and h/(mE)h/(mE) has wrong dimensions.

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