List of top Questions asked in MHT CET- 2026

A horizontal pipe carries water in a streamline flow. At point along the pipe, where the cross-sectional area is \(A_1\), the velocity of water is \(V_1\) and the pressure is \(P_1\). What is the pressure of water at another point where the cross-sectional area is \(A_2\)?

The average transnational kinetic energy of a molecule in a gas is \(E_1\). The kinetic energy of the electron (e) accelerated from rest through potential difference 'V' volt is \(E_2\). The temperature at which \(E_1 = E_2\) possible is (mass of molecule and electron is same) (N = number of molecules, V = Velocity, R = gas constant)

A uniform solid cylinder with radius R and length L has moment of inertia \(I_1\) about the axis of the cylinder. A concentric solid cylinder of radius \(R/2\) and length \(L/2\) is carved out of the original cylinder. If \(I_2\) is the moment of inertia of the carved out portion of the cylinder then \(I_1/I_2\) is (Both \(I_1\) and \(I_2\) are about the axis of the cylinder)

Solid sphere is rotating about an axis as shown in figure. If the radius of the sphere is 5 cm, then radius of gyration about that axis will be \(\sqrt{x}\) cm. The value of x is

A body of mass m is taken from earth surface to a height h equal to twice the radius of earth, the increase in potential energy will be (\(g\) = acceleration due to gravity on earth's surface) (R - radius of earth)

One thousand small water drops of equal radii combine to form a big drop. The ratio of final surface energy to the total initial surface energy is

Under isothermal condition, two soap bubbles of radii \(r_1\) and \(r_2\) combine to form a single soap bubble of radius R. The surface tension of the soap solution is (P = outside pressure)

A solid sphere of mass M and a disc of mass \(\frac{M}{2}\) have the same radius. The ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere about its tangent will be

Vectors \(a\hat{i}+b\hat{j}+\hat{k}\) and \(2\hat{i}-3\hat{j}+4\hat{k}\) are perpendicular to each other when \(3a+2b = 7\), the ratio of a to b is \(x/2\). The value of x is

A body of mass 1kg begins to move under the action of a time dependent force \(\overset{⃗}{F} = (t\hat{i}+3t^2\hat{j}) \text{N}\) where \(\hat{i}\) and \(\hat{j}\) are the unit vectors along x and y axis. The power developed by the above force at time \(t = 2 \text{s}\) will be (in watt)

If \(E_1\) and \(E_2\) are equally likely, mutually exclusive and exhaustive events and \(P(A|E_1) = 0.2\), \(P(A|E_2) = 0.3\), then \(P(E_1|A)\) equal to...

Two objects are projected with same velocity 'u' at different angles \(α\) and \(β\) with the horizontal. If \(α+β = 90^{\circ}\), the ratio of horizontal range of the first object to the second object will be \([sin(π-θ) = sinθ]\)

The error in the measurement of length and mass of a cube is 3% and 4% respectively. The error in the measurement of its density will be

The minimum value of \(z = 3x+5y\), subject to constraints \(x\leq 80\), \(y\geq 60\), \(x+y\leq 200\) & \(x,y\geq 0\) occurs at the point...

If a random variable \(X\) has a probability mass function \(P(x) = \{\begin{array}{cc}kx^2, & \text{for }x = 1,2,3,4 \\ 0, & \text{otherwise}\end{array}\), then the mean of \(X\) is ...

The values of p and q so that the line joining the points (7, p, 2) and (q, -2, 5) may be parallel to the line joining the points (2, -3, 5) and (-6, -15, 11) are

If a fair coin is tossed 8 times, then the probability of getting at most 2 heads is...

If \(d\) is the distance of point (2, 5, 10) from the plane containing the lines \(\overset{̄}{r} = (4\hat{j}-\hat{k})+λ(\hat{i}+2\hat{j}-2\hat{k})\) and \(\overset{̄}{r} = (2\hat{i}+\hat{j})+μ(\hat{i}+2\hat{j}-2\hat{k})\), then \(d^2 =\)

If the lines \(2x = ky = -z\) and \(6x = -y = -4z\) are perpendicular to each other then the value of \(k\) is ...

If \(\overset{̄}{a} = 4\hat{i}+\hat{j}+\hat{k}\), \(\overset{̄}{b} = 2\hat{i}+\hat{j}+2\hat{k}\) and \(\overset{̄}{c} = 3\hat{i}+4\hat{j}+5\hat{k}\), then \((\overset{̄}{a}+\overset{̄}{b})\cdot (\overset{̄}{b}+\overset{̄}{c}) =\)

The vector equation of plane in parametric form, passing through the points (-1, 2, 0), (2, 2, -1) and parallel to the line \(\frac{x-1}{1} = \frac{2y+1}{2} = \frac{z+1}{-1}\) is

The volume of a parallelopiped with coterminous edges \(\overset{̄}{a},\overset{̄}{b},\overset{̄}{c}\) is 3 cubic units. The volume (in cubic units) of a tetrahedron with coterminous edges \((\overset{̄}{a}\times \overset{̄}{b}),(\overset{̄}{a}\times 2\overset{̄}{c}),(\overset{̄}{b}\times 2\overset{̄}{c})\) is...

Let \(\overset{̄}{a},\overset{̄}{b}\) and \(\overset{̄}{c}\) be three coplanar unit vectors. A unit vector \(\overset{̄}{d}\) is perpendicular to them. If \((\overset{̄}{a}\times \overset{̄}{b})\times (\overset{̄}{c}\times \overset{̄}{d}) = \frac{3}{26}\hat{i}-\frac{2}{13}\hat{j}+\frac{6}{13}\hat{k}\) and the angle between \(\overset{̄}{a}\) and \(\overset{̄}{b}\) is \(30^{\circ}\), then \(\overset{̄}{c}\) is equal to...

If \(\overset{̄}{a} = 2\hat{i}+\hat{j}-\hat{k}\), \(\overset{̄}{b} = \hat{i}+3\hat{k}\) and \(\overset{̄}{c}\) is a unit vector, then the maximum value of the scalar triple product \([\overset{̄}{a} \overset{̄}{b} \overset{̄}{c}]\) is

If \(f(x)\) is a polynomial such that \(f(x) = [f^'(x)]^2\) and \(f(2) = 0\), then \(f(-2) = \ldots\)