The time period of a simple pendulum may depend on its length

PHYSICS · Multi-part · CBSE · Physics · Oscillations · Oscillations

Problem

The time period TT of a simple pendulum may depend on its length ll, the mass of the bob mm and the acceleration due to gravity gg. Four students propose the following possible relationships: (i) Identify the dimensionally correct expression. (ii) Calculate TT for l=0.64 ml = 0.64\,\text{m}, g=9.8 m s−2g = 9.8\,\text{m s}^{-2}.

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