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)
Scale conversion — heatwave temperature
A weather report says 113 °F. Convert to °C and K. T(°C) = (5/9)(113 − 32) = (5/9)(81) = 45 °C T(K) = 45 + 273 = 318 K
Linear expansion of a steel rail
A 30 m steel rail (α = 1.2 × 10⁻⁵ K⁻¹) is heated from 18 °C to 48 °C. ΔL = αLΔT = (1.2 × 10⁻⁵)(30)(30) = 1.08 × 10⁻² m = 10.8 mm — hence the expansion gap.
Ice at 0 °C to steam at 100 °C (full heating curve)
(a) A gas absorbs 800 J and does 300 J of work: ΔU = Q − W = 800 − 300 = +500 J (b) An engine takes 1000 J and rejects 600 J per cycle: W = 1000 − 600 = 400 J → η = W/Q₁ = 400/1000 = 40%