Question

The ratio between the time period of two simple pendulum is 2:3. If the acceleration due to gravity is same for both the pendulums, find the ratio between the lengths of the two pendulums.​

Answer 1

Answer:

Here, time period , T

1

=T

2

T

1

=2π

g

1

l

1

and T

2

=2π

g

2

l

2

Thus,

g

1

l

1

=

g

2

l

2

(as T

1

=T

2

)

or

g

2

g

1

=

l

2

l

1

=

9

1