The time period t of a simple pendulum is given by the relation

t=2pi sq rt l/g

, where l is the length of the pendulum and g is the gravitational field at the place. from the above relation, we can say that:

t ∝ g

t ∝ l

t2 ∝ g

t2 ∝ l

Explanation:

The period of a simple pendulum is given by:

where

L is the length of the pendulum

g is the acceleration of gravity

From this equation we can write

Taking the square of this equation, we get:

So we see that is proportional to L and inversely proportional to g. So, we can write:

So the only correct option is

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