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A uniform square plate at side `a` is hinged at one at its comes it is suspended such than it can rotate about horizontal axis. The time period of small oscillation about its equilibrium position.A. `2pi sqrt((2a)/(3g))`B. `2 pi sqrt((sqrt(2)a)/(3g))`C. `2pisqrt((2sqrt(2)a)/(3g))`D. `2 pi sqrt((2sqrt(2a))/(g))`

Answer» Correct Answer - C<br><br> `T = 2pi sqrt((1)/(mgd)) = 2pi sqrt((m((a^(2) + a^(2)))/(12) + m((a)/(sqrt(2)))^(2))/(mg"(a)/(sqrt(2))))`<br> `= 2pi sqrt(((a)/(6) + (a)/(2)) .sqrt(2))/(g) = 2pi sqrt(2sqrt(2)a)/(3g)`


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