JAMB Physics 1985 Question 2

Question 2

Simple Harmonic Motion

A simple pendulum with a period of 2.0 s has its length doubled. Its new period is

  1. A.1.00 s
  2. B.1.41 s
  3. C.0.35 s
  4. D.2.83 s
  5. E.4.00 s.
Show the answer and explanation

Answer: D (2.83 s)

Explanation

T is proportional to √L, so doubling L multiplies T by √2: 2.0 × 1.414 ≈ 2.83 s.