Using dimensional analysis, how does the period T of a pendulum (measured in seconds) depend on some, or all of the following properties: m is the mass of the pendulum bob, L is the length of the pendulum string, and g is the gravitational field strength (measured in units of m/s^2)?
A. T = L^(1/2) * g^(-1/2).
B. T = m^(1/2) * L^(-1/2).
C. T = g^(1/2) * m^(-1/2).
D. T = g^(1/2) * L^(1/2) * m^(-1/2).
Answer:A
Using dimensional analysis, how does the period T of a pendulum (measured in seconds) depend on some, or all of the following properties: m is the mass of the pendulum bob, L is the length of the pendulum string, and g is the gravitational field strength (measured in units of m/s^2)?
A. T = L^(1/2) * g^(-1/2). B. T = m^(1/2) * L^(-1/2). C. T = g^(1/2) * m^(-1/2). D. T = g^(1/2) * L^(1/2) * m^(-1/2).