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larisa [96]
3 years ago
11

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

Physics
2 answers:
Vanyuwa [196]3 years ago
5 0

Answer:

T^2 \propto L

Explanation:

The period of a simple pendulum is given by:

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

where

L is the length of the pendulum

g is the acceleration of gravity

From this equation we can write

T\propto \sqrt{L}\\T\propto \frac{1}{\sqrt{g}}

Taking the square of this equation, we get:

T^2 = (2\pi)^2 \frac{L}{g}

So we see that T^2 is proportional to L and inversely proportional to g. So, we can write:

T^2 \propto L\\T^2 \propto \frac{1}{g}

So the only correct option is

T^2 \propto L

Brums [2.3K]3 years ago
5 0

Answer:

T2 ∝ L

Explanation:

took the test and got it right

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