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A thin uniform plate shaped as an equilateral triangle with a height ‘h’ performs small oscillations about the horizontal axis coinciding with one of its sides. The time period of oscillation is.....

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$π \sqrt{\frac{h}{g}}$

$π \sqrt{\frac{2 h}{g}}$

$2 π \sqrt{\frac{h}{g}}$

$2 π \sqrt{\frac{2 h}{g}}$

answer is C.

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Detailed Solution

$T = 2 π \sqrt{\frac{I}{m g l}}; l = h / 3 : I = \frac{m h^{2}}{6} T = ?$

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