A concise, well-structured PDF guide presenting "Brilliant Tutorials YG" as an educational resource: goals, target audience, key subjects, teaching approach, and how to use the PDF.
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(This is a sample page – full PDF would include 20+ questions and answer key.) (This is a sample page – full PDF
Marks: +4 for correct answer, -1 for incorrect answer.
Q1. Kinematics & Relative Motion A swimmer can swim in still water at a speed of $5, \textm/s$. He crosses a river flowing at $3, \textm/s$ which is $100, \textm$ wide. If he crosses the river in the shortest possible time, what is the drift (horizontal distance traveled by the swimmer) along the flow? A) $60, \textm$ B) $75, \textm$ C) $80, \textm$ D) $100, \textm$ Marks: +4 for correct answer, -1 for incorrect answer
Q2. Rotational Mechanics A solid cylinder of mass $M$ and radius $R$ rests on a plank of mass $2M$ lying on a smooth horizontal surface. There is sufficient friction between the cylinder and the plank for pure rolling. If the plank is pulled with a horizontal force $F$, find the acceleration of the cylinder. A) $F / 2M$ B) $F / 5M$ C) $4F / 9M$ D) $F / 3M$
Q3. Thermodynamics An ideal gas expands isothermally from volume $V_1$ to $V_2$ and is then compressed adiabatically to the original volume $V_1$. The initial pressure is $P_1$, and the pressure after the adiabatic compression is $P_2$. If $\gamma$ is the ratio of specific heats, then: A) $P_2 > P_1$ B) $P_2 = P_1 (V_2/V_1)^\gamma-1$ C) The total work done by the gas is positive. D) The final temperature is higher than the initial temperature.
Q4. Electromagnetic Induction A conducting rod of length $L$ rotates with an angular velocity $\omega$ about one of its ends in a uniform magnetic field $B$ perpendicular to the plane of rotation. The induced EMF between the ends of the rod is: A) $B L^2 \omega$ B) $\frac12 B L^2 \omega$ C) $2 B L^2 \omega$ D) Zero