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Read a vernier, understand the measurement →
Derive the fine reading from two scales, correct the zero, and judge what the instrument can actually establish.
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Real sources, cell groups and useful power →
Distinguish emf from terminal voltage, infer source models and track energy in both directions.
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Refraction, internal reflection and dispersion →
Draw the normal, trace each boundary and let the geometry decide which formula applies.
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Rolling motion and angular momentum →
Connect the contact constraint to rotation, then choose when angular momentum is the conserved quantity.
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Semiconductor junctions, rectifiers and Zener regulation →
Explain the carriers, choose a diode model and verify the operating state before trusting the output.
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Significant figures →
What the digits in a measurement are allowed to claim
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Sound: Doppler shifts, beats and intensity levels →
Count arriving wavefronts, track a changing phase difference and use decibels as logarithmic ratios.
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Spherical mirrors: images, signs and moving objects →
Keep the incident-light axis fixed and use reflection geometry to check every image.
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Standing waves, pipe modes and resonance measurements →
Use boundary conditions to find nodes, harmonics and the information hidden in resonance spacings.
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Static friction: find what is needed →
Replace “friction equals μN” with a method that tests whether surfaces can remain at rest relative to each other.
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Surface tension, curved interfaces and capillary rise →
Count interfaces and connect boundary forces, surface work, pressure jumps and wetting.
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The cross product: perpendicular effects and direction →
Build the geometry, signs and component method behind torque and magnetic force.
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Thermal expansion: geometry, measurement and restraint →
Follow what can move, what the ruler measures and when heating produces stress.
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Thermal radiation and the wavelength of a spectral peak →
Separate emission from net exchange, count the relevant areas and connect temperature to a broad spectrum.
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Thin films: reflections, colours and precision →
Build a phase ledger, then use it for coatings, wedges and curved gaps.
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Torque, rotational inertia and fixed-axis dynamics →
Derive the axis-dependent quantities that connect turning forces to angular motion.
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Travelling waves, superposition and energy →
Read a wave equation, distinguish particle motion from propagation and connect phase to energy transport.
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Units: keep the quantity, change the number →
Use units as part of the calculation, including powers, rates and experimental scales.
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Vectors and their components →
Turn directions into equations without losing the geometry
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Velocity and acceleration →
Read motion as changing position—and changing velocity