List of top Questions asked in MHT CET- 2026

An ideal gas with pressure P, volume V and temperature T is expanded isothermally to volume 2V and a final pressure \(P_i\). The same gas is expanded adiabatically to a volume 2V then the final pressure is \(P_a\). In terms of \(γ\), the ratio of the two specific heats for the gas, the ratio \(P_i/P_a\) is

At a pressure P and temperature T, 7 gram of oxygen occupies a volume V. The equation of state will be (Molecular weight of Oxygen \(= 32\))

The acceleration due to gravity at a height 'h' above the surface of earth is '\(g_h\)'. At the depth 90 km below the earth's surface the acceleration due to gravity is also '\(g_h\)'. The value of 'h' is

If the shape of the liquid surface is curved, then

In case of fluid flowing on horizontal surface the flow of fluid becomes unsteady when Reynolds number (Rn) is

A black body radiates maximum energy at wavelength '\(λ\)' at temperature \(T_1\) and its emissive power is E. When the temperature of the body is changed to \(T_2\), it radiates maximum energy at wavelength \(\frac{2λ}{3}\), then the emissive power will become

A body cools from a temperature \(3θ\) to \(2θ\) in 10 minute. The room temperature is \(θ\). The temperature of the body at the end of the next 10 minute is '\(x\)'. Assuming that Newton's law of cooling is applicable, the value of '\(x\)' will be

An incompressible fluid (ideal fluid) is flowing through non uniform cross-sectional tube PQ as shown in the figure from end P to end Q. If \(K_P\) and \(K_Q\) are the kinetic energy per unit volume of the fluid at end P and end Q respectively, then

A kathak dancer is standing on horizontal surface with folded hands. In the begining dancer is rotating about his central axis and his kinetic energy is 'K' at that time. The kathak dancer now stretches his arms so that the moment of inertia of the dancer becomes three times and the angular velocity becomes one-third. The kinetic energy of the dancer now is

For a projectile motion, the range R is 'n' times the maximum height H. So the angle of projection is

An inextensible string passing over a smooth pulley connects two blocks of masses \(m_1\) and \(m_2\) (\(m_2 > m_1\)) vertically. If the acceleration of the system is \((\frac{g}{n})\), then the ratio of masses \((\frac{m_2}{m_1})\) is

Given identical rings are arranged in a hexagonal plane pattern so as to touch each neighbouring ring as shown in figure. Each ring has mass M and radius R. The moment of inertia of the system of seven rings about an axis passing through the centre of central ring and normal to plane of all rings is

A solid sphere rolls without slipping on an inclied plane at an angle \(θ\). The ratio of total kinetic energy to its rotational kinetic energy is

The maximum error in the measurement of the density and mass of the uniform cube are 8% and 2% respectively. Hence, the maximum error in the measurement of length will be

If a unit vector is represented by \(\overset{⃗}{U} = 0.9\,\hat{i}-0.2\,\hat{j}+m\hat{k}\), then the value of m is

The acute angle between the lines \(2x = 3y = -z\) and \(6x = -y = -4z\) is \(\ldots\)

A fair die is thrown 4 times. If getting a prime number on the die is considered as a success, then the probability of getting no success at all is \(\ldots\)

If the p. d. f. of a continuous random variable X is given by \(f(x) = \{\begin{array}{cc}k(9+8x-x^2), & \text{for }-1\leq x\leq 4 \\ 0, & \text{otherwise}\end{array}\) then the value of \(k\) is \(\ldots\)

In an entrance test, there are multiple choice questions. There are four possible answers to each question, only one of which is correct. The probability that a student knows the answer to a question is 90%. If he gets the correct answer to a question, then the probability that he was guessing is

The maximum value of \(z = 4x+y\) subject to the constraints \(x+y\leq 5,2x+y\leq 7,3x+2y\leq 11,x\geq 0,y\geq 0\) is \(\ldots\)

The value of \(|\overset{̄}{a}\cdot \overset{̄}{b}|^2+|\overset{̄}{a}\times \overset{̄}{b}|\cdot |\overset{̄}{a}\times \overset{̄}{b}|\) is \(\ldots\)

The value of \(θ\in (0,\frac{π}{2})\) for which vectors \(\overset{̄}{a} = (sinθ)\hat{i}+(cosθ)\hat{j}\) and \(\overset{̄}{b} = \hat{i}-\sqrt{3}\hat{j}+2\hat{k}\) are perpendicular is

If \(|\overset{̄}{a}| = |\overset{̄}{b}| = 1,|\overset{̄}{c}| = 2\) and \(\overset{̄}{a}\times (\overset{̄}{a}\times \overset{̄}{c})+\overset{̄}{b} = \overset{̄}{0}\), then the acute angle between \(\overset{̄}{a}\) and \(\overset{̄}{c}\) is \(\ldots\)

If the equation of a plane passing through \(A(1,p,2)\), \(B(3,2,4)\) and parallel to the z axis, is \(3x-2y-q = 0\), then \(\ldots\)

The angle between the line \(\overset{̄}{r} = (\hat{i}+2\hat{j}+\hat{k})+λ(\hat{i}+\hat{j}+\hat{k})\) and the plane \(\overset{̄}{r}\cdot (2\hat{i}-\hat{j}+\hat{k}) = 8\) is \(\ldots\)