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The two simple pendulum A and B are similar and have different time period but equal amplitude. If the time period of pendulum A is more than pendulum B, then:

The two simple pendulum A and B are similar and have different time period but equal amplitude. If the time period of pendulum A is more than pendulum B, then: Correct Answer Both A and B have equal maximum kinetic energy

Concept:

Simple pendulum:

  • When a point mass is attached to an inextensible string and suspended from fixed support then it is called a simple pendulum.
  • The amplitude of a simple pendulum is defined as the maximum distance traveled by the pendulum from the equilibrium position to one side.
  • The length of a simple pendulum is defined as the distance between the point of suspension to the center of the bob.

  • The maximum kinetic energy of the simple pendulum is given as,

⇒ Maximum KE = mgl(1 - cosθ)

Where m = mass of the bob, g = gravitational acceleration, l = length of the pendulum, and θ = amplitude

Explanation:

Given m1 = m2 = m, l1 = l2 = l, and θ1 = θ2 =θ

The maximum kinetic energy of the simple pendulum is given as,

⇒ Maximum KE = mgl(1 - cosθ)     -----(1)

Since the mass, length, and amplitude of both the pendulum are equal so the maximum kinetic energy of both the pendulums will also be equal.

Hence, option 3 is correct.

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