AIPMT 2009 Preliminary Mock Test

A wave in a string has an amplitude of $2\text{cm}$. The wave travels in the $+ve$ direction of $x$ axis with a speed of $128\text{m/sec}$ and it is noted that $5$ complete waves fit in $4\text{m}$ length of the string. The equation describing the wave is:

Which one of the following equations of motion represents simple harmonic motion?

A student measures the terminal potential difference ($V$) of a cell (of emf $ϵ$ and internal resistance $r$) as a function of the current ($I$) flowing through it. The slope and intercept of the graph between $V$ and $I$ are respectively:

If a diamagnetic substance is brought near the north or the south pole of a bar magnet, it is:

A bus is moving with a speed of $10{\text{ms}}^{-1}$ on a straight road. A scooterist wishes to overtake the bus in $100\text{s}$. If the bus is at a distance of $1\text{km}$ from the scooterist, with what speed should the scooterist chase the bus?