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NEET
Exam
NEET
Subject
Physics
Chapter
Dual Nature of Matter

NEET · Physics · Dual Nature of Matter

Two particles A and B of de Broglie wavelengths λ A and λ B combine...

Two particles A and B of de Broglie wavelengths λAand λBcombine to form a particle C. The process conserves momentum. Find the de Broglie wavelength of the particle C. (The motion is one dimensional).

Options

  1. A2λAλB∣λA−λB∣\frac{2{{\lambda }_{A}}{{\lambda }_{B}}}{\left| {{\lambda }_{A}}-{{\lambda }_{B}} \right|}
  2. BλAλB∣λA−λB∣\frac{{{\lambda }_{A}}{{\lambda }_{B}}}{\left| {{\lambda }_{A}}-{{\lambda }_{B}} \right|}
  3. C2λAλB∣2λA−λB∣\frac{2{{\lambda }_{A}}{{\lambda }_{B}}}{\left| 2{{\lambda }_{A}}-{{\lambda }_{B}} \right|}
  4. DλAλB∣2λA−λB∣\frac{{{\lambda }_{A}}{{\lambda }_{B}}}{\left| 2{{\lambda }_{A}}-{{\lambda }_{B}} \right|}

Correct answer

B. λAλB∣λA−λB∣\frac{{{\lambda }_{A}}{{\lambda }_{B}}}{\left| {{\lambda }_{A}}-{{\lambda }_{B}} \right|}

Step-by-step solution

Correct Option is : (B)
λAλB∣λA−λB∣\frac{{{\lambda }_{A}}{{\lambda }_{B}}}{\left| {{\lambda }_{A}}-{{\lambda }_{B}} \right|}
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