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VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    An observer A sees an asteroid with a radioactive element moving by at a speed \[=0.3c\] and measures the radioactivity decay time to be\[{{T}_{A}}\]. Another observer B is moving with the asteroid and measures its decay time as\[{{T}_{B}}\]. Then \[{{T}_{A}}\] and \[{{T}_{B}}\] are related as

    A)  \[{{T}_{B}}<\text{ }{{T}_{A}}\]

    B)  \[{{T}_{A}}={{T}_{B}}\]

    C)  \[{{T}_{B~}}>{{T}_{A}}\]

    D)  Either [A] or [C] depending on whether the asteroid is approaching or moving away from A  

    Correct Answer: A

    Solution :

    Observers in different inertial frames always measure different time intervals between a pair of events. According to time dilation \[{{T}_{A}}>{{T}_{B}}\]


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