AP EAMCET · PHYSICS · Dual Nature of Matter
A particle of mass \(8 \mu \mathrm{~g}\) in motion collides with another stationary particle of mass \(4 \mu \mathrm{~g}\). If the collision is perfectly elastic and one dimensional, the ratio of their de Broglie wavelengths after collision is
- A 4:1
- B 3:1
- C 1:1
- D 2:1
Answer & Solution
Correct Answer
(D) 2:1
Step-by-step Solution
Detailed explanation
\( \frac{\lambda_1'}{\lambda_2'} = \frac{h/p_1'}{h/p_2'} = \frac{p_2'}{p_1'} = \frac{m_2 v_2'}{m_1 v_1'} \) \( \frac{\lambda_1'}{\lambda_2'} = \frac{m_2 \left(\frac{2m_1 u_1}{m_1 + m_2}\right)}{m_1 \left(\frac{(m_1 - m_2)u_1}{m_1 + m_2}\right)} = \frac{2m_2}{m_1 - m_2} \)…
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