Jamb Physics Mock Exam 5 Mock Exam 5

What happens to the velocity of efflux of a liquid through a small hole in a tank when the depth of the liquid is doubled?

A liquid flows through a horizontal pipe of varying cross-section. At one point, the area is $0.01 m^2$ and the speed of the liquid is $10 ms^{-1}$. At another point, the area is $0.02 m^2$. What is the speed of the liquid at this second point?

A heat engine operates between two reservoirs at temperatures of 500 K and 300 K. What is the maximum possible efficiency of this engine?

An ideal gas undergoes an isothermal expansion from an initial volume of 1.0 $m^3$ to a final volume of 2.0 $m^3$ at a constant temperature of 300 K. If the initial pressure is 200 kPa, what is the work done by the gas during this expansion?

A rubber cord has a length of 1.0m when the tension is 10N. When the tension is increased to 20N, the length becomes 1.1m. Calculate the original length of the cord.

A cube of side 0.1m is submerged in water. If the density of water is $1000 kgm^{-3}$, what is the buoyant force acting on the cube?

A 500g block of aluminum at 20°C is placed in thermal contact with a 200g block of iron at 80°C in an isolated system. Assuming no heat loss to the surroundings, what is the final equilibrium temperature of the two blocks? (Specific heat capacity of aluminum $c_{Al} = 900 J kg^{-1} K^{-1}$, specific heat capacity of iron $c_{Fe} = 450 J kg^{-1} K^{-1}$)

What happens to the magnetic field strength inside a solenoid if the current flowing through it is doubled, while keeping the number of turns per unit length constant?

A container with volume $V$ contains $n$ moles of an ideal gas at temperature $T$. If the number of moles is doubled while keeping the volume and temperature constant, what happens to the pressure of the gas?

A hydraulic lift has a small piston with a cross-sectional area of $0.01 m^2$ and a large piston with a cross-sectional area of $0.5 m^2$. If a force of 100N is applied to the small piston, what force is exerted by the large piston?