Relative error in side is half that of area: Δs/s = 0.5(0.2/100) = 0.001, so Δs = 10×0.001 = 0.01 cm, i.e. 10 ± 0.01 cm.

Errors in measurement can arise from negligence, faulty apparatus, or inappropriate methods, so all listed are possible causes.

When subtracting measurements, absolute uncertainties add: 0.1 + 0.1 = 0.2, so x = 16.3 ± 0.2 cm.

The block indicates option D; OCR shows a selection mark adjacent to 'Random error' in the block.

Because kinetic energy ∝ p^2, doubling momentum (100% increase) makes kinetic energy four times, an increase of 300%.

Period = 54.6/30 = 1.82 s; uncertainty = least count/30 = 0.1/30 ≈ 0.003 s, so 1.82 ± 0.003 s.

Series total resistance is 10 kΩ; maximum absolute error = 0.1×6k + 0.1×4k = 600 + 400 = 1000 Ω, so percentage tolerance = 1000/10000 = 10%.

Absolute uncertainty is commonly taken as the least count (smallest scale division) of the instrument.

R = 8/4 = 2 Ω; percentage error ≈ %ΔV + %ΔI = (0.5/8)×100% + (0.2/4)×100% = 6.25% + 5% = 11.25%.

Differentiating f = uv/(u+v) gives df/f = du/u + dv/v - (du+dv)/(u+v), so the relative error expression with the subtraction term is correct.