AIEEE 2011 PYQ Mock Test

The electrostatic potential inside a charged spherical ball is given by $\varphi =a{r}^2+b$ where $r$ is the distance from the centre; $a,b$ are constants. Then the charge density inside ball is:

A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is $v$, the total area around the fountain that gets wet is:

$100\text{g}$ of water is heated from $30^{\circ }\text{C}$ to $50^{\circ }\text{C}$. Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is $4184\text{J/kg/K}$):

The half life of a radioactive substance is $20\text{minutes}$. The approximate time interval $(t_2-t_1)$ between the time $t_2$ when $\frac{2}{3}$ of it has decayed and time $t_1$ when $\frac{1}{3}$ of it had decayed is:

Statement-1 : A metallic surface is irradiated by a monochromatic light of frequency $\nu >{\nu }_0$ (the threshold frequency). The maximum kinetic energy and the stopping potential are $K_{max}$ and $V_0$ respectively. If the frequency incident on the surface is doubled, both the $K_{max}$ and $V_0$ are also doubled.Statement-2 : The maximum kinetic energy and the stopping potential of photoelectrons emitted from a surface are linearly dependent on the frequency of incident light.