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WB JEE Medical WB JEE Medical Solved Paper-2006

  • question_answer
    A particle executes simple harmonic motion between \[x=-A\]and \[x=+A.\]The time taken for it to go from 0 to A/2 is \[{{T}_{1}}\]and to go from A/2 to A is \[{{T}_{2}}.\]Then :

    A)  \[{{T}_{1}}<{{T}_{2}}\]                 

    B)  \[{{T}_{1}}>{{T}_{2}}\]

    C)  \[{{T}_{1}}={{T}_{2}}\]                 

    D)  \[{{T}_{1}}=2{{T}_{2}}\] 

    Correct Answer: A

    Solution :

    In SHM, velocity of particle also oscillatessimple harmonically. Speed is more near themean position and less near the extremepositions. Therefore, the time taken for the particle to go from 0 to A/ 2 will be less than the time takento go it from A/ 2 to A. Hence, \[{{T}_{1}}<{{T}_{2}}\]


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