75-Archetype SyllabusPhysics • ARCH-P-10 • Spec P4

Full 6-Card Lesson 15-Question Timed Drill

UAT-UK SPEC CODE: P4 (Thermal physics)ASSUMED MATHS 1 PREREQUISITE: M1.2FREQUENCY: MEDIUM

Specific Heat Capacity (Q = mcΔT), Latent Heat (Q = mL) & Electrical Heating Curves (Pt = mcΔT)

Deconstructed from 11 past UAT-UK questions (4.72% of all historical Physics papers). Students using standard A-Level classroom methods spend an average of 140s on this archetype—blowing past the 90s ESAT budget. Using the 2-line Sub-90 heuristic below compresses solve time to 40s (saving 100s per question).

Historical Frequency

11 Past Qs

4.72% of Physics

Classroom Trap Time

140s

+50s over 90s budget

Sub-90 Target Time

40s

Banks +100s on the clock

Dominant UI Format

5-Option A–E

Maths 1 Skill: M1.2

Card 1 & Card 2 Preview: The Classroom Time Trap vs. Sub-90 2-Line Rule

Excerpted from our interactive 6-Step Topic Lesson for ARCH-P-10.

Launch All 6 Active-Recall Cards

CARD 1 OF 6 • THE CLASSROOM TIME TRAP (140s)

Why Students Bleed Time:

Total energy supplied is

E_{\text{in}} = P t = 40 \times 50 = 2000\text{ J}

. Convert mass

m = \frac{5}{1000}\text{ kg}

and compute energy retained by the tip:

Q = mc\Delta T = 0.005 \times 400 \times 200 = 400\text{ J}

. Energy lost to surroundings is

2000 - 400 = 1600\text{ J}

(~120s).

In 11 past UAT-UK questions (4.72% of Physics), candidates lose 100s by failing to divide mass in grams by 1000 to match kg. Instead, apply P4 with Maths 1 skill M1.2.

CARD 2 OF 6 • THE 2-LINE SUB-90 HEURISTIC (<40s)

**Line 1 (Unit Guardrail

\text{g} \to \text{kg}

):**

Q_{\text{tip}} = \frac{5}{1000} \times 400 \times 200 = 400\text{ J}

**Line 2 (Subtract from

Pt

):**

E_{\text{lost}} = (40\times 50) - 400 = 2000 - 400 = 1600\text{ J}

(25s).

Sanity & Limit Check: Verify units/signs against unit_or_prefix_mismatch (Leaving mass in grams (e.g. 2.0 g) when specific heat capacity c is in J kg⁻¹ °C⁻¹) and factor_of_two_or_stoichiometry_trap (Inverting the gradient k = ΔT / t of a temperature-time graph: writing c = P*k/M instead of c = P/(M*k)).

Examiner Distractor Blueprint for ARCH-P-10

FOIL #1unit_or_prefix_mismatch

Leaving mass in grams (e.g. 2.0 g) when specific heat capacity c is in J kg⁻¹ °C⁻¹

Failing to divide mass in grams by 1000 to match kg.

Open Unit / Prefix Mismatch Clinic

FOIL #2factor_of_two_or_stoichiometry_trap

Inverting the gradient k = ΔT / t of a temperature-time graph: writing c = P*k/M instead of c = P/(M*k)

From Pt = McΔT, gradient k = ΔT/t = P/(Mc), so c = P/(Mk).

Open Factor-of-2 / Stoichiometry Clinic

FOIL #3intermediate_stop_trap

Outputting energy absorbed by tip mcΔT (160 J) instead of energy lost to surroundings P*t - mcΔT (1500 - 160 = 1340 J)

Stopping after computing mcΔT without subtracting from total electrical heater input P*t.

Open Intermediate Stop Trap Clinic

FOIL #4subsystem_isolation_trap

Omitting sensible heating mcΔT when ice at -10 °C melts and warms to +20 °C

Including latent heat mL only and forgetting temperature change stages.

Open Subsystem Isolation Trap Clinic

Try 1 Live Sample Question Under the 90-Second Stopwatch

Press W to open the 2-line dry-wipe scratchpad, select A–E, and lock in to reveal the Dual-View solution.

Full 6-Card Lesson Launch All 15 Questions (ARCH-P-10)

ARCH-P-10: Specific Heat Capacity (Q = mcΔT), Latent Heat (Q = mL) & Electrical Heating Curves (Pt = mcΔT) (Sample)Physics

00:00.0

SUB-90 ZONE (<40S)

0.0s40s Sub-9090s ESAT Budget150s Classroom

Question 1 of 1ARCH-P-10 (6-Card Lesson)Format: Standard 5-Option

Right-click any option to cross out • Keys A–E + Enter

Question 1 of 1 • 90s Target

Ready to Start Question 1?

The question stem, diagram, and answer options are hidden behind this pre-start gate. When you click below, the question will reveal and your 90-second split stopwatch will immediately begin ticking.

Physics•ARCH-P-10•Standard 5-Option

or press Enter to start