Ratio and Proportion: Time period (T) of the pendulum is directly proportional to the square root of length of string by which bob is attached to a fixed point and inversely proportional to the square root of gravitational constant ‘g’. The time period of a bob is 3 seconds when the gravitational constant g is 4 m/sec₂ and length of string is 9 metre, what is the time period of a bob having a string of length 64 metre and gravitational constant 16 m/sec₂?

Time period (T) of the pendulum is directly proportional to the square root of length of string by which bob is attached to a fixed point and inversely proportional to the square root of gravitational constant ‘g’. The time period of a bob is 3 seconds when the gravitational constant g is 4 m/sec₂ and length of string is 9 metre, what is the time period of a bob having a string of length 64 metre and gravitational constant 16 m/sec₂?