Neglecting variation of mass with velocity, the wavelength associated with an electron having a kinetic energy E is proportional to

Question

Neglecting variation of mass with velocity, the wavelength associated with an electron having a kinetic energy E is proportional to (A) E(1/2) (B) E (C) E-(1/2) (D) E-2

Tardigrade Admin · Accepted Answer

λ=(h/√2 m E) ∴ λ propto E-1 / 2

Q. Neglecting variation of mass with velocity, the wavelength associated with an electron having a kinetic energy $E$ is proportional to

$E^{\frac{1}{2}}$

$E$

$E^{- \frac{1}{2}}$

$E^{- 2}$

$λ = \frac{h}{2 m E}$
$∴ λ \propto E^{- 1/2}$

Q. Neglecting variation of mass with velocity, the wavelength associated with an electron having a kinetic energy E is proportional to

E21​

E

E−21​

E−2

λ=2mE​h​ ∴λ∝E−1/2

Q. Neglecting variation of mass with velocity, the wavelength associated with an electron having a kinetic energy $E$ is proportional to

$E^{\frac{1}{2}}$

$E$

$E^{- \frac{1}{2}}$

$E^{- 2}$

$λ = \frac{h}{2 m E}$
$∴ λ \propto E^{- 1/2}$