List of top Questions asked in MHT CET- 2026

In a composite slab there are two materials having coefficients of thermal conductivity K and 2K, thickness x and 4x repectively. The temperature of the two outer surfaces of a composite slab are \(T_2\) and \(T_1\) \((T_2 > T_1)\). \(T_2\) is on side K and \(T_1\) is on side 2K. The rate of heat transfer through the slab in a steady state is \([\frac{A(T_2-T_1)K}{x}]\cdot f\), where f is equal to

A thermodynamic system is compressed adiabatically, then its temperature

Two cylinders A and B fitted with pistons contain equal amount of an ideal diatomic gas at 303 K. The piston of cylinder A is free to move and that of cylinder B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 63 K then the rise in temperature of the gas in A is

A black body emits radiation of maximum intensity of wavelength '\(λ\)' at temperature 'T' K. Its corresponding wavelength at temperature \((2.5T)\) K will be

Two soap bubbles, A and B, have radii in the ratio \(3:2\). The excess pressure inside the bubble A to that of B is in the ratio

The excess pressure inside the first soap bubble is three times that inside the second soap bubble. The ratio of the volume of the first soap bubble to the volume of the second soap bubble is

A mass tied to a string is whirled in a horizontal circular path with a constant angular velocity and its angular momentum is 'L'. If the length of the string is now halved, keeping angular velocity same then the angular momentum will be

Two planets A and B are orbiting around the sun. The distances of the two planets A and B from the sun are \(r_A\) and \(r_B\) respectively. Also \(r_B = 225\,r_A\). If the orbital speed of the planet A is 'V' then the orbital speed of planet B will be

Radius of gyration of a thin uniform circular disc about the axis passing through its centre and perpendicular to its plane is \(K_c\). Radius of gyration of the same disc about a diamter of the disc is \(K_d\). the ratio \(K_d:K_c\) is

A solid sphere of radius R and mass M is rotating about its diameter. The moment of intertia of the solid sphere rotating about an axis at a distance \(\frac{R}{3}\) from the centre and parallel to that diameter is

When a capillary tube of radius 'r' is immersed in water, rise of water is upto height 'h'. The mass of water in capillary tube is 'm'. When another capillary tube of radius 'xr' is immersed in water, the mass of water that will rise in this tube is

A machine gun fires a bullet of mass 40g with a speed of \(600\text{ ms}^{-1}\). The person holding the gun can bare maximum force of 168N on it. The number of bullets that can be fired from the gun per second is

Three numbers are chosen from 1 to 30. The probability that minimum is 10 and maximum is 26 is _______

On average, one out of 10 persons is busy. If six persons are selected at random, then the probability that at least 5 of them will be busy is...

There are two vectors \(\overset{⃗}{A} = 6\hat{i}+9\hat{j}-\hat{k}\) and \(\overset{⃗}{B} = 2\hat{i}+3\hat{j}-p\hat{k}\) which have the same direction. The value of 'p' is

A force 'F' is applied on a square plate of side 'L'. If the percentage error in determining 'L' is 3% and that in 'F' is 2% then the percentage error in determining the pressure is

A ball P is projected at an angle of \(60^{\circ}\) with the vertical with certain initial speed. Another ball Q of the same mass as that of ball P is projected vertically upwards with the same initial speed as that of P. At the highest point, the ratio of potential energy of ball P to that of ball Q is
\((sin30^{\circ} = 0.5)\)

If a discrete random variable \(X\) takes the values \(1,2,3,4\) such that \(2P(X = 1) = 3P(X = 2) = P(X = 3) = 5P(X = 4)\), then \(P(X = 4) = \ldots\)

The sum of the coordinates of one of the points on the line \(\frac{x-2}{1} = \frac{y+3}{-2} = \frac{z+5}{2}\) which is at a distance of 3 units from the point \((2,-3,-5)\) is ...

The equation of the perpendicular line from the point \((2,-3,1)\) to the line \(\frac{x+1}{2} = \frac{y-3}{3} = \frac{z+2}{-1}\) is

The angle between the line \(x-1 = 2-y = \frac{2z-6}{4}\) and the plane \(\overset{⃗}{r}\cdot (2\hat{i}+\hat{j}+\hat{k}) = 10\) is

If the distance of point \(B(2,1,-3)\) from the line passing through the point \(A(4,-2,2)\), and parallel to the vector \(\overset{⃗}{c} = -4\hat{i}-6\hat{j}-2\hat{k}\) is \(x\), then \(x^4+x^2+541 =\)

If A and B are the feet of the perpendiculars drawn from \((1,2,3)\) to planes \(YZ\) and \(ZX\), then the equation of the plane passing through the points A, B and the origin is

In the following figure, the shaded region represents the system of constraints:

If \(|\overset{⃗}{a}\cdot \overset{⃗}{b}| = |\overset{⃗}{a}\times \overset{⃗}{b}|\), \(\overset{⃗}{a}\cdot \overset{⃗}{b} < 0\) and \(θ\) is the angle between \(\overset{⃗}{a}\) and \(\overset{⃗}{b}\), then the value of \(sinθ+tanθ\) is...