AIEEE 2010 PYQ Mock Test

A particle is moving with velocity $\vec{v}=K(y\hat{i}+x\hat{j})$, where $K$ is a constant. The general equation for its path is:

Two long parallel wires are at a distance $2d$ apart. They carry steady equal current $I$ flowing out of the plane of the paper. The variation of the magnetic field $B$ along the line $X{X}^{\prime }$ (perpendicular to wires) is zero at what point?

In a circuit containing a battery of emf $V$, a resistor $R_2$ in series with an inductor $L$ and resistor $R_1$ in parallel, the key $K$ is closed at $t=0$. The current through the battery is:

The figure shows the position–time ($x-t$) graph of one-dimensional motion of a body of mass $0.4\text{kg}$. If the graph is a sawtooth wave with peaks at $2\text{m}$ every $2\text{seconds}$, the magnitude of each impulse is:

A nucleus of mass $M+\Delta m$ is at rest and decays into two daughter nuclei of equal mass $M/2$ each. Speed of light is $c$. If the binding energy per nucleon for the parent nucleus is $E_1$ and that for the daughter nuclei is $E_2$, then: