. Compare the time periods of two simple pendulums of length in the ratio 36m and 4m.
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Answer:
T₁ : T₂ = 3 : 1
Explanation:
Time period (T) = 2π √L/g
T₁ = 2π × √36 / g
T₂ = 2π × √4 / g
T₁ : T₂
= 2π × √36 / g ÷ 2π × √4 / g
= 2π × √36 / g × g / 2π × √4
2π and g will be cancelled on both sides
= √36 / √4
= 6 / 2
= 3 / 1
T₁ : T₂ = 3 : 1
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