Level 3

A liquid of mass $M$ and specific heat $S$ is at a temperature $2 \mathrm{t}.$ If another liquid of mass $M$ and thermal capacity $1.5$ times, at a temperature of $\frac{t}{3}$ is added to it, the resultant temperature will be :

Which one of the figures gives the temperature dependence of the density of water correctly?

There is a hole in the bottom of tank having water. If total pressure at the bottom is $3 \mathrm{atm}$ $\left(1 \mathrm{atm}={10}^5 \mathrm{N} {\mathrm{m}}^{-2}\right)$, then, the velocity of water flowing from hole is

Paint-gun is based on,

A plane is in level fight at constant speed and each of its two wings has an area of $25 {\mathrm{m}}^2$. If the speed of the air on the upper and lower surfaces of the wing are $270 \mathrm{km} {\mathrm{h}}^{-1}$ and $234 \mathrm{km} {\mathrm{h}}^{-1}$ respectively, then the mass of the plane is :(the density of the air $=1 \mathrm{kg} {\mathrm{m}}^{-3}$)

Water is flowing streamline motion through a horizontal tube. The pressure at a point in a tube is $P$ where the velocity of flow is $v.$ At another point where the pressure is $\frac{P}{2},$the velocity of flow is (density of water $=\rho$)

There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is h. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to

A gas bubble of $2 \mathrm{cm}$ diameter rises through a liquid of density $1.75 \mathrm{g} {\mathrm{cm}}^{-3}$ with a fixed speed of $0.35 \mathrm{cm} {\mathrm{s}}^{-1}.$ Neglect the density of the gas. The coefficient of viscosity of the liquid is...$\left(\mathrm{Take} \mathrm{g}=981 \mathrm{cm} {\mathrm{s}}^{-2}\right)$