AIEEE 2011 PYQ Mock Test

Water is flowing continuously from a tap having an internal diameter $8\times 10^{-3}\text{m}$. The water velocity as it leaves the tap is $0.4{\text{ms}}^{-1}$. The diameter of the water stream at a distance $2\times 10^{-1}\text{m}$ below the tap is close to:

This question has Statement – 1 and Statement – 2. Of the four choices given after the statements, choose the one that best describes the two statements.Statement-1 : Sky wave signals are used for long distance radio communication. These signals are in general, less stable than ground wave signals.Statement-2 : The state of ionosphere varies from hour to hour, day to day and season to season.

Three perfect gases at absolute temperatures $T_1,T_2$ and $T_3$ are mixed. The masses of molecules are $m_1,m_2$ and $m_3$ and the number of molecules are $n_1,n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is:

A pulley of radius $2\text{m}$ is rotated about its axis by a force $F=20t-5t^2$ Newton (where $t$ is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is $10{\text{kg m}}^2$, the number of rotations made by the pulley before its direction of motion is reversed, is:

A resistor $R$ and $2\mu \text{F}$ capacitor in series is connected through a switch to $200\text{V}$ direct supply. Across the capacitor is a neon bulb that lights up at $120\text{V}$. Calculate the value of $R$ to make the bulb light up $5\text{s}$ after the switch has been closed. (${\log }_{10}2.5=0.4$)