Answer:
Pendulum B
Explanation:
The time period of a pendulum is given by :
[tex]T=2\pi\sqrt{\dfrac{L}{g}}[/tex]
Case 1.
Mass, m = 200 g = 0.2 kg
Length of string, l = 1 m
Time, [tex]T_1=2\pi\sqrt{\dfrac{1\ m}{9.8\ m/s^2}}[/tex]
T₁ = 2.007 Seconds
Since, [tex]f=\dfrac{1}{T_1}[/tex]
[tex]f_1=\dfrac{1}{2.007}[/tex]
f₁ = 0.49 Hz
Case 2.
Mass, m = 400 g = 0.4 kg
Length of string, l = 0.5 m
Time, [tex]T_2=2\pi\sqrt{\dfrac{0.5\ m}{9.8\ m/s^2}}[/tex]
T₂ = 1.41 seconds
[tex]f₂=\dfrac{1}{T_2}[/tex]
[tex]f₂=\dfrac{1}{1.41}[/tex]
f₂ = 0.709 seconds
Hence, pendulum B have highest frequency of vibration.
