Question

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

Answer 1

Answer:

T  

1

​  

:T  

2

​  

::2:1

2π  

g

l  

1

​  

 

​  

 

​  

:2π  

g

l  

2

​  

 

​  

 

​  

::2:1

l  

1

​  

 

​  

:  

l  

2

​  

 

​  

::2:1

square both sides

(  

l  

2

​  

 

​  

 

l  

1

​  

 

​  

 

​  

)  

2

=(  

1

2

​  

)  

2

 

l  

1

​  

:l  

2

​  

::4:1