Question

Compare the time period of two simple pendulums whose effective lengths are 144cm and 169cm respectively.​

Answer 1

Answer:

13 times time period of pendulum length 144 cm is equal to 12 times time period of 169 cm

Explanation:

Time period of a simple pendulum is 2π√l/g

suppose T1 be the time period of l=144 cm pendulum

Now putting value the time period will be T1= 2π√144/g

similarly for 169cm T2= 2π√169/g

Divide T1 and T2

T1/T2 = √144÷√166 ( 2π and g will cancel out)

T1/T2 = 12÷13

= 13T1=12T2