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A triangular rigid wire frame ' $A O B$ ' 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 option.

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$T_{1} < T_{2}$

$T_{1} = T_{2}$

None

$T_{1} > T_{2}$

answer is A.

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Detailed Solution

$T i m e p e r i o d = \sqrt{\frac{I}{m g d}}$
Mgd = constant for both situation.
Moment of inertia about x-axis is less than the
Moment of inertia of about z-axis.
So $I x < I z,$ $s o T_{1} < T_{2.}$

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