Class 11 | JEE Board | Mixed Level Practice Test - 25 Questions (2026)

A particle of mass $m$ is projected from the ground with an initial velocity $u$ at an angle $\theta$ with the horizontal. The average power delivered by gravity during its flight is:

One mole of an ideal gas undergoes a reversible adiabatic expansion from an initial volume $V_1$ to a final volume $V_2$. If the ratio of specific heats is $\gamma$, the work done by the gas is:

Two identical sinusoidal waves, each of amplitude $A$, are traveling in the same direction. If the phase difference between them is $\phi$, the amplitude of the resultant wave is:

What is the major product of the following reaction: $CH_3CH_2Br + KOH (alcoholic) \longrightarrow $?

The standard reduction potentials for $Zn^{2+}/Zn$ and $Cu^{2+}/Cu$ are -0.76 V and +0.34 V, respectively. What is the standard cell potential for the reaction $Zn + Cu^{2+} \longrightarrow Zn^{2+} + Cu$?

Which of the following has the highest ionization energy?

If $f(x) = x^3 - 6x^2 + 11x - 6$, find the number of real roots of $f(x) = 0$.

Evaluate $\int_{0}^{\pi/2} \sin^2(x) dx$.

If $A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$, find $A^{-1}$.

A block of mass $m$ is placed on a rough inclined plane with an angle of inclination $\theta$. The coefficient of static friction between the block and the plane is $\mu_s$. What is the maximum angle of inclination $\theta$ for which the block will remain at rest?

Consider the parabola $y^2 = 4ax$. What is the length of the latus rectum?

What is the IUPAC name of $CH_3-CH(Cl)-CH_2-CH_3$?

A radioactive substance has a half-life of 10 days. How long will it take for 75% of the substance to decay?

A projectile is fired with an initial velocity of $v_0$ at an angle of $\theta$ with the horizontal. What is the maximum height reached by the projectile?

Find the equation of the circle with center at (2, -3) and radius 4.

A particle of mass $m$ is projected from the ground with an initial velocity $u$ at an angle $ heta$ with the horizontal. The average power delivered by gravity over the entire time of flight is:

For a first-order reaction, the rate constant is $k$. If the initial concentration of the reactant is $A_0$, the time required for the concentration to reach $rac{A_0}{4}$ is:

If $y = \sin^{-1} (rac{2x}{1+x^2})$, then $rac{dy}{dx}$ is equal to:

A Carnot engine operates between two reservoirs at temperatures $T_1 = 500 K$ and $T_2 = 300 K$. If the engine absorbs 1200 J of heat from the hot reservoir, the amount of heat rejected to the cold reservoir is:

The number of isomers possible for the complex $[Co(en)_2Cl_2]^+$ are:

A transverse wave is described by the equation $y(x,t) = A\sin(kx - \omega t)$. The maximum particle velocity is equal to four times the wave velocity if:

The domain of the function $f(x) = \sqrt{\log_{0.5}(x^2-5x+7)}$ is:

The major product formed in the reaction of toluene with chlorine in the presence of $FeCl_3$ is:

Two identical charged spheres are suspended by strings of equal length. The strings make an angle of $30^\circ$ with each other. When suspended in a liquid of density $0.8 g/cm^3$, the angle remains the same. If the density of the sphere is $1.6 g/cm^3$, the dielectric constant of the liquid is:

The value of $\int_{0}^{\pi/2} rac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} dx$ is: