QJEEM20Phf533: JEE Main 2020 Physics - Class 12 JEEM20Phf533 Solution: A particle moving with kinetic energy E has de Broglie…

Question

Verified Solution • 2025–26 Session moderate

A particle moving with kinetic energy E has de Broglie wavelength

λ

. If energy

Δ

E is added to its energy, the wavelength become

λ

/2. Value of

Δ

E, is :

Accepted Answer

λ = \frac{h}{\sqrt{2 m E}}

Also,

\frac{h}{\sqrt{2 m (E + Δ E)}}

=

\frac{λ}{2}

∴

\frac{E + Δ E}{E} = 4

\Rightarrow

Δ

E = 3E

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