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Using dimensional analysis check the cor...

Using dimensional analysis check the correctness of the equation `T=2pisqrt(l/g)`, where T is the period of the simple pendulum of length l and g is the acceleration due to gravity.

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To check the correctness of the equation \( T = 2\pi \sqrt{\frac{l}{g}} \) using dimensional analysis, we will follow these steps: ### Step 1: Identify the dimensions of the variables - **Period (T)**: The period \( T \) has the dimension of time, which is denoted as \( [T] \). - **Length (l)**: The length \( l \) has the dimension of length, denoted as \( [L] \). - **Acceleration due to gravity (g)**: The acceleration \( g \) has the dimension of length per time squared, which is denoted as \( [L][T]^{-2} \). ### Step 2: Write down the equation ...
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