AIPMT 2012 Preliminary Mock Test

An electric dipole of moment $\vec{p}$ is placed in an electric field of intensity $\vec{E}$. The dipole acquires a position such that the axis of the dipole makes an angle $\theta$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $\theta =90^{\circ }$, the torque and the potential energy of the dipole will respectively be:

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is:

If the nuclear radius of ${}^{27}\text{Al}$ is $3.6\text{Fermi}$, the approximate nuclear radius of ${}^{64}\text{Cu}$ in Fermi is:

Two similar coils of radius $R$ are lying concentrically with their planes at right angles to each other. The currents flowing in them are $I$ and $2I$, respectively. The resultant magnetic field induction at the centre will be:

When a biconvex lens of glass having refractive index $1.47$ is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index: