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CBSE Class 12 Physics 2025 All Sets Solved Paper

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Question : 11 of 16
Marks: +1, -0
Let λeλ_e, λpλ_p and λdλ_d be the wavelength associated with an electron, a proton and a deuteron, all moving with the same speed. Then the correct relation between them is
Solution:  
Wavelengths associated with an electron (λeλ_e), proton (λpλ_p), and deuteron (λdλ_d), all moving with the same speed.
Using de Broglie’s equation: λ=  h/mvλ = \;{h}/{mv}
• Since all particles have the same speed (v), their wavelengths are inversely proportional to their masses.
• Electron has the smallest mass, so it has the longest wavelength.
• Deuteron has the highest mass, so it has the shortest wavelength.
Mass relation: me<mp<mdm_e < m_p< m_d
thus,
wavelength relation: λe>λp>λdλ_e > λ_p > λ _d
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