Board-style MCQs and past-paper numericals in the BIEK / Sindh Board pattern. Tap an option to check yourself instantly. Solved questions are at the bottom.
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Multiple-choice questions
Solved numericals (past papers)
Time period of a simple pendulum
A simple pendulum is 2.45 m long (g = 9.8 m/s²). Find T. T = 2π√(L/g) = 2π√(2.45/9.8) = 2π√0.25 = 2π × 0.5 = 3.14 s
Finding g from pendulum timing
A pendulum of length 1.0 m completes 20 vibrations in 40.2 s. T = 40.2/20 = 2.01 s g = 4π²L/T² = 4 × 9.87 × 1.0 / (2.01)² = 39.48 / 4.04 = 9.77 m/s²
Mass–spring oscillator
A 0.8 kg block on a spring of k = 80 N/m. T = 2π√(m/k) = 2π√(0.8/80) = 2π√0.01 = 2π × 0.1 = 0.628 s; f = 1/T = 1.59 Hz
Maximum speed & total energy in SHM
A 0.2 kg body oscillates with amplitude 4 cm and ω = 25 rad/s. v₀ = x₀ω = 0.04 × 25 = 1 m/s E = ½mv₀² = ½ × 0.2 × 1² = 0.1 J