The area under velocity-time graph gives displacement when direction is considered (signed area), and distance travelled when absolute values are taken (unsigned area). For unidirectional motion, both are equal. Velocity is rate of change of displacement, so integrating velocity over time yields displacement. This graphical interpretation is fundamental in kinematics. Memory tip: Slope of v-t graph = acceleration; area under v-t graph = displacement. Competitive exams often combine graph analysis with conceptual understanding to test depth of knowledge in motion topics.
Explanation:
According to Archimedes' principle, the floating ice displaces a volume of water equal to its own weight. When the ice melts, it transforms into a volume of water that is exactly equal to the volume of water it displaced while floating. Therefore, the water level remains unchanged.
Explanation:
Ideal gas: no intermolecular forces ⇒ internal energy = kinetic energy ∝ T. U = f/2 nRT. Memory tip: 'Ideal gas: U = U(T) only; real gases have V dependence'. Thermodynamics concept frequently tested in competitive exams.
Explanation:
Screw gauge typically has least count 0.001 cm (0.01 mm). Vernier calliper least count 0.01 cm. Metre scale 0.1 cm. So screw gauge most precise.
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