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Q.

Period of small oscillations in the two cases shown in figure is T₁ and T₂, respectively. Assume that, fluid does not have any viscosity, then

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a

$T_{1} = 2 π \sqrt{\frac{m}{k - ρAg}}$

b

$T_{2} = 2 π \sqrt{\frac{2 m}{k}}$

c

$T_{2} = 2 π \sqrt{\frac{m}{2 k}}$

d

$T_{1} = 2 π \sqrt{\frac{m}{k + ρAg}}$

answer is B.

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$T_{1} = 2 π \sqrt{\frac{m}{k + ρAg}}$ but $T_{2} = 2 π \sqrt{\frac{m}{k}}$

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