AI-generated answer
If the mass of the bob in a pendulum is doubled, the pendulum's new period will be d) 2T.
The period of a pendulum is the time it takes for one complete swing, or oscillation. It depends on the length of the pendulum and the acceleration due to gravity. The mass of the bob does not directly affect the period of the pendulum.
According to the formula for the period of a pendulum:
T = 2π * √(L/g)
Where:
T = period
π = pi (approximately 3.14)
L = length of the pendulum
g = acceleration due to gravity
Since the mass of the bob does not appear in this formula, doubling the mass will not directly change the period. The only factors that affect the period are the length of the pendulum and the acceleration due to gravity.
Therefore, if the mass of the bob is doubled, the pendulum's new period will still be the same as before, which is 2T.