Practice portal › Dual Nature of Matter and Radiation › Comparing de Broglie Wavelengths of Particles

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

Asked in JEE Main 9th Jan 1st Shift 2020 · Same or changed energy

• (1) 2E
• (2) 4E
• (3) 3E
• (4) E

Step-by-step solution

Why the other options are wrong

• (1) comes from halving the wavelength by doubling the energy, which would need λ∝1/E
• (2) comes from is the new total energy, not the energy added
• (4) comes from a slip in 4E-E

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