Yakeen Plus (2025) Practice Test 37

Water flows from a square hole of side L at depth y and a circular hole of radius R at depth 4y in a tank. If the water outflow rate is the same, what is R equal to?

A fluid flows horizontally through a pipe with varying cross-section. At one point, speed is $v \frac{m}{s}$ and pressure is P Pascal. At another point pressure is $P/2$ Pascal. If fluid density is $\rho \frac{kg}{m^3}$, and the flow is streamlined, what is the speed V at the second point?

Force F breaks a wire of length l and radius r. What force breaks a wire of the same material with length 2_l_ and radius 6_r_?

A particle undergoes SHM with amplitude a and period T. What is the minimum time to travel a/2 from the equilibrium position?

Liquids with densities d, 2_d_, and 3_d_ are mixed in equal weights. What is the density of the mixture?

A mass m moving at 3 km/h collides with a mass 2_m_ at rest, sticking together. What is the combined velocity?

Water pipes P and Q have diameters $2 \times 10^{-2} m$ and $4 \times 10^{-2} m$, respectively, and are joined in series in a water supply line. The water velocity in pipe P is how many times that in pipe Q?

Which statement about electrical potential energy is incorrect?

In a circuit, what is the potential difference across a 4.5 µF capacitor connected with other capacitors and a 12V source?

If $_M_o$ is the mass of Isotope $^{12}_5B$, $_M_p$ and $_M_n$ are proton and neutron masses, what is the isotope's nuclear binding energy?

Two elements in a house have individual powers of 100 W and 150 W. What is the effective power when they are connected in series?

The velocity u of particles is given by $u = \alpha t + \frac{\beta}{t^2} + \gamma$. What are the dimensions of $\alpha$, $\beta$ and $\gamma$?

What is the time period of a simple pendulum of length L, measured in an elevator descending with an acceleration of g/3?

What is the work done during the cyclic process in the given P-V diagram?

Two charges, $q_1$ and $q_2$, are separated by distance d in a medium with dielectric constant K. What distance in air would provide the same electrostatic force?

Match the charge source to its electric field.

A traveling string wave is $y = 3 sin(t - x)$. In cm, what is the phase difference between two particles 4 cm apart?

Which P-V diagram curve corresponds to the thermodynamic cycle?

Given Assertion & Reason about ideal gases, is the assertion correct and, if so, does the reason explain why.

Match the term to the correct definition.

At what temperature do oxygen molecules have the same root mean square speed as hydrogen molecules at 300K?

Given assertion/reason about the relation between pressure and voume for a given of an ideal gas at constant temperature, what is the correct interpretation

What is the displacement magnitude of a body after 1s if acted on by a force $ \vec{F} = \alpha t \hat{i} + beta \hat{j}$, where alpha = 1N/s and beta = 1 N, and body mass is 1 kg?

What is the net work done (in Joules) by three constant forces, $F_1 = \hat{i} + \hat{j} - 2\hat{k}$, $F_2 = 2\hat{i} - 2\hat{j} - 3\hat{k}$, and $F_3 = -\hat{i} + 2\hat{j} + 4\hat{k}$, when they displace a particle from (1, -1, 2) to (-1, -1, 3) and then to (2, 2, 0) in meters?

The velocity-time graph of a 3kg particle moving in a straight line is shown. Find the net work (in J) done by all forces acting on the particle from t=0 to t=3s.

A stone (mass m) attached to a string of length L is whirled vertically. At its lowest point, the speed is u. Compute velocity's magnitude upon reaching horizontal string position.

Four thin rods each of mass m and length l are joined to form a square. What is the moment of inertia of the four rods about any side of the square?

How are n-type and p-type silicon obtained from pure silicon?

The nuclear radius of Al-27 is 3.6 Fermi. The approximate Radius of Cu-64 in Fermi is: