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

Proton (P) and electron (e) will have same de Broglie wavelength when the ratio of their momentum is (assume, mₚ=1849 mₑ)

Asked in JEE Main 8th April 1st Shift 2023 · Equal wavelengths and equal speeds

• (1) 1:43
• (2) 43:1
• (3) 1:1849
• (4) 1:1

Step-by-step solution

Why the other options are wrong

• (1) comes from carrying the mass ratio into a relation that contains only momentum
• (2) comes from the same error with the ratio inverted
• (3) comes from using the full mass ratio rather than noting that λ fixes p alone

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