2. Sample Papers
  3. JEE Main & Advanced

JEE Main & Advanced Sample Paper JEE Main - Mock Test - 25

  • question_answer
    A triangular rigid wire frame 'AOB' is made in which length of each wire is \[l\] and mass is m. The whole system is suspended from point O and free to perform SHM about x-axis or about z-axis. When it performs SHM about x-axis its time period of oscillation is \[{{T}_{1}}\] and when it performs SHM about z-axis, its time-period of oscillation is\[{{T}_{2}}\]. Then choose the CORRECT  

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

    B) \[{{T}_{1}}>{{T}_{2}}\]

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

    D) None

    Correct Answer: A

    Solution :

    [a] Time period \[=\sqrt{\frac{I}{mgd}}\] mgd = constant for both situation. Moment of inertia about x-axis is less than the moment of inertia of about z-axis. So   \[{{I}_{x}}<{{I}_{z}},\] So  \[{{T}_{1}}<{{T}_{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner