Assertion (A): A particle at rest breaks into two particles of different masses. They fly off in different directions. Their de Broglie wavelengths will be different.
Reason (R): Their speed will be different.
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false
Solution:
When a particle at rest decays, conservation of momentum dictates that the two resulting particles must have equal and opposite momenta \( |p_1| = |p_2| \). Since the de Broglie wavelength is \( \lambda = h/p \), both particles must have the same wavelength, making the assertion that they are different false.
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