AIPMT 2006 Mock Test

In a radioactive material, the activity at time $t_1$ is $R_1$ and at a later time $t_2$, it is $R_2$. If the decay constant of the material is $\lambda$, then:

The ionization potential of the hydrogen atom is $13.6\text{V}$. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy $12.1\text{eV}$. According to Bohr’s theory, the spectral lines emitted by hydrogen will be:

The potential energy of a long spring when stretched by $2\text{cm}$ is $U$. If the spring is stretched by $8\text{cm}$ the potential energy stored in it is :

For a projectile projected at angles $(45^{\circ }-\theta )$ and $(45^{\circ }+\theta )$, the horizontal ranges described by the projectile are in the ratio of:

A body of mass $3\text{kg}$ is under a constant force which causes a displacement $s$ in metres in it, given by the relation $s=\frac{1}{3}{t}^2$, where $t$ is in sec. Work done by the force in $2\text{sec}$ is :