AIEEE 2010 PYQ Mock Test

If a source of power $4\text{kW}$ produces $10^{20}$ photons/second, the radiation belongs to a part of the spectrum called:

The respective number of significant figures for the numbers $23.023$, $0.0003$ and $2.1\times 10^{-3}$ are:

In a series $\text{LCR}$ circuit $R=200\Omega$ and the voltage and the frequency of the main supply is $220\text{V}$ and $50\text{Hz}$ respectively. On taking out the capacitance from the circuit the current lags behind the voltage by $30^{\circ }$. On taking out the inductor from the circuit the current leads the voltage by $30^{\circ }$. The power dissipated in the $\text{LCR}$ circuit is:

Let there be a spherically symmetric charge distribution with charge density varying as $\rho (r)={\rho }_0(\frac{5}{4}-\frac{r}{R})$ up to $r=R$, and $\rho (r)=0$ for $r>R$. The electric field at a distance $r(r<R)$ from the origin is given by:

The potential energy function for the force between two atoms in a diatomic molecule is approximately given by $U(x)=\frac{a}{x^{12}}-\frac{b}{x^6}$, where $a$ and $b$ are constants and $x$ is the distance between the atoms. If the dissociation energy of the molecule is $D=[U(x=\infty )-U_{atequilibrium}]$, $D$ is: