The period of a simple pendulum is 1 s on Earth.When brought to a planet where g is one-tenth that on Earth, its period becomes:
A)1 s
B) s
C)1/10 s
D) s
E)10 s

Question

The period of a simple pendulum is 1 s on Earth.When brought to a planet where g is one-tenth that on Earth, its period becomes:
A)1 s 
B) s 
C)1/10 s 
D) s 
E)10 s

Quizplus · Accepted Answer

The formula for the period of a simple pendulum is T = 2π√(l/g), where l is the length of the pendulum and g is the acceleration due to gravity. Since the length of the pendulum is not given, we can assume it remains constant. 
When the pendulum is brought to a planet where the acceleration due to gravity is one-tenth that on Earth, the new value of g becomes (1/10)g. Therefore, the new period is T_new = 2π√[l/((1/10)g)] = 2π√(10*l/g) = 2π*√10*T. 
Since T = 1 on Earth, the new period becomes T_new = 2π*√10 = 11.137 s (rounded to the nearest thousandth). Therefore, the best choice is option D: 11.137 s.

The Period of a Simple Pendulum Is 1 S on Earth.When