List of top Questions asked in MHT CET- 2026

A tuning fork of frequency \(n\) produces \(x\) beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string, when a slight increase in tension produces lesser beats per second than before?

What is the effect of humidity on sound waves when humidity increases?

There is a body having mass \(m\) and performing SHM with amplitude '\(a\)'. There is a restoring force \(F = -Kx\), where \(x\) is the displacement. The total energy of the body depends upon which of the following?

Which of the following statements is NOT TRUE?
a. Work done to move a charge on an equipotential surface is not zero.
b. Equipotential surfaces are the surfaces where the potential is constant.
c. Equipotential surfaces for a uniform electric field are parallel and equidistant from each other.
d. Electric field is always perpendicular to an equipotential surface.

A string of length \(0.5\) m and mass \(10^{-3}\) kg is tightly clamped at its ends. The tension in the string is \(0.8\) N. Identical wave pulses are produced at one end at equal intervals of time \(\Delta t\). What is the minimum value of \(\Delta t\) which allows constructive interference between successive pulses?

Two metal sphere of radius \(R\) and \(3R\) have same surface charge density \(σ\). If they are brought in contact and then separated, the surface charge density on smaller and bigger sphere becomes \(σ_1\) and \(σ_2\), respectively. The ratio \(\frac{σ_1}{σ_2}\) is.

A particle executes simple harmonic motion between \(x = -A\) and \(x = +A\). If time taken by particle to go from \(x = 0\) to \(\frac{A}{2}\) is \(2\)s, then time taken by particle in going from \(x = \frac{A}{2}\) to A is

A wire of length \(L\) and diameter \(d\) is used in a bulb. The temperature of wire is \(T\) and power radiated by the wire is \(P\). Its emissivity is (\(σ\) = Stefan's constant) (Assume that emissivity of wire material is same at all wavelength)

The energy spectrum of a black body exhibits a maximum of wavelength \(λ_0\). The temperature of the black body is now changed such that the energy is maximum at wavelength \(\frac{3λ_0}{2}\). The ratio of power radiated by the black body will be

A vessel has \(6\) gram of hydrogen at pressure \(P\) and temperature \(500\) K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is \(\frac{P}{2}\) and the temperature falls to \(300\) K?

Two samples A and B of gas initially at the same pressure and temperature. They are compressed from volume \(V\) to \(\frac{V}{2}\) (A isothermally and B adiabatically). The relation between pressure of the gas A (\(P_A\)) and pressure of gas B (\(P_B\)) is

Given below are two statements:
Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.
Statement II: Acceleration due to earth's gravity is same at a height '\(h\)' and depths '\(d\)' from earth's surface, if \(h = d\).
In the light of above statements, choose the most appropriate answer from the options given below.

A flywheel rotating about a fixed axis has a kinetic energy of \(500\) joule, if its angular frequency is \(5\) Hz, then calculate the moment of inertia of the wheel about the axis of rotation. (\(π^2 = 10\))

Two rain drops of same radius '\(r\)' falling with same terminal velocity '\(V\)' merge and form bigger drop of radius '\(R\)'. The terminal velocity of big drop is

A spherical ball of radius \(1\) mm and density \(10.5\) g/cc is dropped in glycerine of coefficient of viscosity \(9.8\) poise and density \(1.5\) g/cc. Viscous force on the ball when it attains constant velocity is \(3696\times 10^{-x}\) N. The value of \(x\) is
(Given, \(g = 9.8\text{ m}/\text{s}^2\) and \(π = \frac{22}{7}\))

A particle of mass \(m\) is moving in a circular path of constant radius \(r\) such that its centripetal acceleration \(a_c\) is varying with time \(t\) as, \(a_c = k^2rt^2\). The power delivered to the particle by the forces acting on it is (\(K\) = constant)

The position vector of a particle is \(\overset{⃗}{r} = acosωt\hat{i}+asinωt\hat{j}\). Calculate the angle between its position vector and the velocity vector.
(\(cos0 = 1,cos90 = 0,cos60 = 0.5,sin30 = 0.5,sin0 = 0\))

Two massless springs of spring constants \(K_1\) and \(K_2\) are connected one after the other forming a single chain, suspended vertically and a certain mass is attached to the free end. If \(x_1\) and \(x_2\) are their respective extensions and 'F' is their stretching force, the total extension produced is

A car passes three points A, B and C at \(3\) m/s, \(6\) m/s and \(9\) m/s respectively in a straight line with uniform acceleration. If distance \(AB = 60\) m then find the distance BC.

The point at which the maximum value of \(x+y\) subject to constraints \(x+2y\leq 70\) and \(2x+y\leq 95,x\geq 0,y\geq 0\) is.

A plane meets the coordinate axes at points A, B and C, such that the centroid of a triangle ABC is \((2,-\frac{2}{3},\frac{1}{2})\). The perpendicular distance from the origin to this plane is...

If the following function is probability density function of r.v. X
\(f(x) = kx^2(1-x)\), for \(0 < x < 1 = 0\), otherwise, then the value of \(k\) is

Let \(X\sim B(n,p)\). If \(E(X) = 2\) and \(\text{Var}(X) = 1\), then the probability of getting at most one success is .....

If the lines \(L_1:\frac{x-1}{-3} = \frac{y-2}{2k} = \frac{z-3}{2},L_2:\frac{x-1}{3k} = \frac{y-5}{1} = \frac{z-6}{-5}\) are perpendicular to each other, then the equation of a plane containing the line \(L_1\) and parallel to the line \(L_2\) for the value of \(k\) that satisfies this condition is ...

Two cards are drawn at random from a standard pack of \(52\) cards. Then the probability that the draw consists of exactly one face card and exactly one ace card is...