What is the concentration of nitrate ions $(NO_3^-)$ if equal volumes of $0.1 \ M \ AgNO_3$ and $0.1 \ M \ NaCl$ are mixed together (in $M$)?

If the plane $7x + 11y + 13z = 3003$ meets the coordinate axes at $A, B, C$, then the centroid of the $\triangle ABC$ is

An unbiased coin is tossed to get $2$ points for turning up a head and $1$ point for the tail. If three unbiased coins are tossed simultaneously,then the probability of getting a total of an odd number of points is

Two vibrating tuning forks produce progressive waves given by $Y_1 = 4 \sin(500\pi t)$ and $Y_2 = 2 \sin(506\pi t)$. The number of beats produced per minute is:

The structure of $PCC$ is

$A$ ball of density $\rho$ is released from deep inside a viscous liquid of density $2\rho$. It will move up: