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Questions  

A particle moving with kinetic energy E has de Broglie wavelength  λ. If energy  ΔE is added to its energy, the wavelength become λ/2 . Value of  ΔE is:

a
E
b
4E
c
3E
d
2E

detailed solution

Correct option is C

de Broglie wavelength=λ=h2E m       ​ ⇒ λ ∝  1E ⇒E∝1λ2​If λ becomes half, then E becomes 4 times. ∴Ef=4 Ei          ​∴ ΔE=Ef− Ei  =4 Ei-Ei  =3Ei

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