The period of a pendulum depends on the length and acceleration due to gravity, but it is not affected by the mass of the pendulum bob. Therefore, if the mass of a pendulum is quadrupled while the length and acceleration due to gravity remain constant, the period of the pendulum will remain the same.
To calculate the period of a pendulum, you can use the equation:
T = 2π√(L/g)
where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
Since the mass of the pendulum bob doesn't appear in this equation, quadrupling the mass will not change the period.