Question

the time period of two simple pendulum at a place are in the ratio 2:1 . what will be the corresponding ratio of their lengths​

Answer 1

4:1 is the  ratio of their lengths

​

Explanation:

time period of a pendulum is given by:

T= $2pi \sqrt \frac{L}{g}$

now T

T ∝ $\sqrt{L}$

T ² ∝ L

T₁ ² / T₂ ² = 4   = L₁ / L₂

4   = L₁ / L₂