Assertion: A particle of mass `M` at rest decays into two particles of masses `m_(1)` and `m_(2)`, having non-zero velocities will have ratio of the de-broglie wavelength unity.
Reason: Here we cannot apply conservation of linear momentum.

Options

A. If both, Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
B. If both, Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
C. If Assertion is true but the Reason is false.
D. If both Assertion and Reason are false.

Answer

c

Explanation

Using law of conservation of linear momentum, we have
`Mxx0=m_(1)v_(1)+m_(2)v_(2)`
or `|m_(1)v_(1)|=|m_(2)v_(2)|`
Ratio of de-brgolie wavelengths
`(lambda_(1))/(lambda_(2))=(h//m_(1)v_(1))/(h//m_(2)v_(2))=(m_(2)v_(2))/(m_(1)v_(1))=1`
Thus Assertion is true. Here Reason is false.