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AIIMS AIIMS Solved Paper-2015

  • question_answer
    Assertion (A) A particle of mass M at rest decay into two particles of masses \[\text{I}\] and \[\text{II}\] having non-zero velocities will have ratio of de-Broglie wavelengths unity. Reason (R) Here we cannot apply conservation of linear momentum. Each of these questions contains two statements. Assertion and Reason. Each of these questions also has four alternative choices, only one of-which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    A) If both Assertion and Reason are true and Reason is correct explanation of Assertion.

    B) If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

    C) If Assertion is true but Reason is false.

    D) If both Assertion and Reason are false.

    Correct Answer: C

    Solution :

    Using law of conservation of linear momentum, we have \[{{\cos }^{-1}}\left( \frac{3}{4} \right)\]                 \[{{\sin }^{-1}}\left( \frac{3}{4} \right)\]                 \[{{\tan }^{-1}}\left( \frac{4}{3} \right)\] Thus, ratio of de-Broglie wavelengths \[{{\cos }^{-1}}\left( \frac{4}{3} \right)\]


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