AIPMT 2006 Mock Test

A particle moves along a straight line OX. At a time $t$ (in seconds), the distance $x$ (in metres) of the particle from O is given by $x=40+12t-t^3$.How long would the particle travel before coming to rest?

The velocity $v$ of a particle at time $t$ is given by$v=at+\frac{b}{t+c}$, where $a$, $b$ and $c$ are constants. The dimensions of $a$, $b$, and $c$ are respectively:

A microscope is focussed on a mark on a piece of paper and then a slab of glass of thickness $3\text{cm}$ and refractive index $1.5$ is placed over the mark. How should the microscope be moved to get the mark in focus again?

$300\text{J}$ of work is done in sliding a $2\text{kg}$ block up an inclined plane of height $10\text{m}$. Taking $g=10{\text{m/s}}^2$, work done against friction is :

A transistor is operated in common emitter configuration at constant collector voltage $V_c=1.5\text{V}$ such that a change in the base current from $100\mu \text{A}$ to $150\mu \text{A}$ produces a change in the collector current from $5\text{mA}$ to $10\text{mA}$. The current gain ($\beta$) is: