Question

the lengths of two simple pendulum are 9 M and 4 respectively calculate the ratio of their time periods​

Answer 1

Answer:

The ratio of time periods T₁ : T₂ = 3 : 2

Explanation:

Time period T = 2 π$\sqrt{\frac{l}{g} }$

∴ T ∝ $\sqrt{l}$

$\frac{T_{1} }{T_{2} }$ = $\sqrt{\frac{l_{1} }{l_{2} } }$

$\frac{T_{1} }{T_{2} }$ = $\sqrt{\frac{9}{4} }$ = $\frac{3}{2}$

∴ The ratio of time periods T₁ : T₂ = 3 : 2