List of top Questions asked in MHT CET- 2026

A spring executes S.H.M. with mass 10 kg attached to it. The force constant of spring is 10 N/m. If at any instant its velocity is 40 cm/s, the displacement at that instant is
(Amplitude of S.H.M. is 0.5 m)

Rate of radiation by a black body is 'R' at temperature 'T'. Another body has same area but emissivity is 0.2 and temperature 3T. Its rate of radiation is

A black rectangular surface of area A emits energy E per unit time at \(27^{\circ}\) C. If length and breadth is reduced to \((\frac{1}{4})^{th}\) of initial value and temperature is raised to \(327^{\circ}\) C, then energy emitted per unit time becomes

A simple pendulum oscillates with an angular amplitude \(θ\). If the maximum tension in the string is twice the minimum tension then \(θ\) is

The change in internal energy of the mass of gas, when the volume changes from V to 2V at constant pressure P is (\(γ\) is the ratio of specific heat at constant pressure to that of volume) (\(γ = \frac{C_p}{C_v}\))

An ideal gas expands adiabatically (\(γ = 1.5\)). To reduce the r.m.s. velocity of the molecules 3 times the gas has to be expanded

A body is projected vertically from earth's surface of radius R with velocity equal to half the escape velocity. The maximum height reached by the body is

A disc of radius 0.4 m and mass 1 kg rotates about an axis passing through its centre and perpendicular to its plane. The angular acceleration is 10 rad/s\(^2\). The tangential force applied to the rim of the disc is

Two small drops of liquid of same radius coalesce to form a big drop. The ratio of the total surface energies after and before the change is

Three liquids have same surface tension and have densities \(ρ_1,ρ_2\) and \(ρ_3\) \((ρ_1 > ρ_2 > ρ_3)\). In three identical capillaries rise of liquid is same. The corresponding angles of contact \(θ_1,θ_2\) and \(θ_3\) are related as

The work done in splitting a water drop of radius 'R' into 64 droplets is (T is the surface tension of water)

A celsius and a Fahrenheit thermometer are dipped in boiling water. The temperature of water is lowered until the Farenheit thermometer shows \(140^{\circ}\). What is the fall in temperature on the Celsius thermometer?

A string of length 'L' fixed at one end carries a mass 'm' at the other end. The string makes \(\frac{3}{π}\) r.p.s. around the vertical axis through fixed end. The tension in the string is

The relative angular speed of hour hand and minute hand of clock is

A body slides down a smooth inclined plane of inclination \(θ\) and reaches the bottom with velocity 'V'. If the same body is a ring which rolls down the same inclined plane then linear velocity at the bottom of the plane is

According to Boyle's law, the product PV remains constant. The SI unit of PV is same as that of

A stationary body explodes into two parts of masses \(M_1\) and \(M_2\). They move in opposite directions with velocities \(V_1\) and \(V_2\). The ratio of their kinetic energies is

A random variable X has the following probability distribution

\(X = x\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)
\(P(X = x)\)	\(0.15\)	\(0.23\)	\(0.10\)	\(0.12\)	\(0.20\)	\(0.08\)	\(0.07\)	\(0.05\)

For the events \(E = \{X\text{ is a prime number}\}\), \(F = \{X < 4\}\), \(P(E\cup F)\) is

The vector sum of the two forces \(\overset{⃗}{A}\) and \(\overset{⃗}{B}\) is perpendicular to their vector difference. Hence forces \(\overset{⃗}{A}\) and \(\overset{⃗}{B}\) are

A random variable X takes the values 0, 1, 2, 3 and its mean is \(1.3\). If \(P(X = 3) = 2P(X = 1)\) and \(P(X = 2) = 0.3\), then \(P(X = 0)\) is

Let \(X\sim B(6,\frac{1}{2})\). Then the maximum probability occurs at

The period of oscillation of a simple pendulum is \(T = 2π(L/g)^{1/2}\). Measured value of 'L' is 10 cm known to 1 mm accuracy and time for 100 oscillations is 50 second, using a watch of 1 second resolution. The percentage error in the measurement of 'g' is

The odds in favour of A winning a game of table tennis against B are 1:2. If 3 games are to be played, then the probability of A winning at least two games out of the three is.....

Let a plane P pass through the point \((3,7,-7)\) and contain the line \(\frac{x-2}{-3} = \frac{y-3}{2} = \frac{z+2}{1}\). If the distance of the plane P from the origin is d, then \(d^2\) is

The point having position vector \(4\hat{i}-11\hat{j}+2\hat{k}\) lies on the line