AIEEE 2003 (Physics) Mock Test

In an oscillating $LC$ circuit the maximum charge on the capacitor is $Q$. The charge on the capacitor when the energy is stored equally between the electric and magnetic field is:

The core of any transformer is laminated so as to:

Let $\vec{F}$ be the force acting on a particle having position vector $\vec{r}$ and $\vec{\tau }$ be the torque of this force about the origin. Then:

A radioactive sample at any instant has its disintegration rate $5000\text{disintegrations per minute}$. After $5\text{minutes}$, the rate is $1250\text{disintegrations per minute}$. Then, the decay constant (per minute) is:

A nucleus with $Z=92$ emits the following in a sequence: $\alpha ,\alpha ,{\beta }^{-},{\beta }^{-},\alpha ,\alpha ,\alpha ,\alpha ,{\beta }^{-},{\beta }^{-},\alpha ,{\beta }^{+},{\beta }^{+},\alpha$. The $Z$ of the resulting nucleus is: