List of top Questions asked in MHT CET- 2026

A traveling wave is described by the equation \(y(x,t) = [0.05sin(8x-4t)]\) m
The velocity of the wave is [All the quantities are in SI unit]
If two charges \(q_1\) and \(q_2\) are separated with distance 'd' and placed in a medium of dielectric constant \(K\). What will be the equivalent distance between charges in air for the same electrostatic force?
The velocity of a particle executing SHM varies with displacement (\(x\)) as \(4v^2 = 50-x^2\).
The time period of oscillations is \(x/7\) s.
The value of \(x\) is (Take \(π = 22/7\))
The amplitude of a particle executing SHM is \(3\) cm. The displacement at which its kinetic energy will be \(25\%\) more than the potential energy is (in cm)
Two waves are represented by the equations, \(y_1 = asin(ωt+kx+0.57)\) m and \(y_2 = acos(ωt+kx)\) m, where \(x\) is in metre and \(t\) is in second. What is the phase difference between them? (\(π = 3.14\))
Sound waves travel at \(350\) m/s through a warm air and at \(3500\) m/s through brass. Which of the following is correct about the wavelength of a \(700\) Hz accoustic wave as it enters brass from warm air?
A block is fastened to a horizontal spring. The block is pulled to a distance \(x = 10\) cm from its equilibrium position (at \(x = 0\)) on a frictionless surface from rest. The kinetic energy of the block at \(x = 5\) cm is \(0.25\) J. The spring constant of the spring is nearly (in \(\text{Nm}^{-1}\))
Let \(γ_1\) be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a mono-atomic gas and \(γ_2\) be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, \(γ_1/γ_2\) is
Energy of a gas/litre is \(600\) joule, then what will be its pressure?
A spherical drop of liquid splits into \(1000\) identical spherical drops. If \(u_i\) is the surface energy of the original drop and \(u_f\) is the total surface energy of the resulting drops, the (ignoring evaporation). \(u_f/u_i = (10/x)\). Then value of \(x\) is
A sample of gas at temperature \(T\) is adiabatically expanded to double its volume. The work done by the gas in the process is (given, \(γ = \frac{3}{2}\)):
What will be the ratio of rate of radiation of metal sphere at two different temperatures \(T_1 = 527^{\circ}\)C and \(T_2 = 127^{\circ}\)C
The surface of water in a water tank of cross-section area \(750\) cm\(^2\) on the top of a house is \(h\) m above the tap level. The speed of water coming out through the tap of cross-section area \(500\) mm\(^2\) is \(30\) cm/s. At that instant, \(dh/dt\) is \(y\times 10^{-3}\) m/s. The value of \(y\) will be
The coefficient of thermal conductivity of a metal rod depends on its
According to law of equipartition of energy the molar specific heat of a non rigid diatomic gas at constant volume is
Moment of inertia of a disc of mass \(M\) and radius 'R' about any of its diameter is \(MR^2/4\). The moment of inertia of this disc about an axis normal to the disc and passing through a point on its edge will be, \((x/2)MR^2\). The value of \(x\) is
A thin uniform rod of length \(2\) m cross-sectional area 'A' and density 'd' is rotated about an axis passing through the centre and perpendicular to its length with angular velocity \(ω\). If the value of \(ω\) in terms of its rotational kinetic energy \(E\) is \((αE/Ad)^{1/2}\), then the value of \(α\) is
If earth has a mass nine times and radius twice to the planet P. Then \(\frac{v_e}{3}\sqrt{x}\) ms\(^{-1}\) will be the minimum velocity required by a rocket to pull out of gravitational force of P, where \(v_e\) is escape velocity on earth. The value of \(x\) is
A solid sphere of mass \(1\) kg rolls without slipping on a plane surface. Its kinetic energy is \(7\times 10^{-3}\) J. The speed of the center of mass of the sphere in cm s\(^{-1}\) is
Determine the ratio of surface energy of \(1\) large drop to \(1\) small drop, if \(1000\) small drops combined to form \(1\) large drop.
\(100\) balls each of mass \(m\) moving with speed \(v\) simultaneously strike a wall normally and reflected back with same speed, in time \(t\) s. The total magnitude of force exerted by the balls on the wall is
Calculate the values of \(a\) and \(b\) if vectors \(a\hat{i}+b\hat{j} = \hat{n}\) and \((\hat{i}+\hat{j})\) are perpendicular to each other
A certain disease has a prevalence of \(1\%\) in the population. A diagnostic test for the disease has a sensitivity of \(98\%\) and a specificity of \(95\%\). If a person from this population tests positive, then the probability that they actually have the disease is...
Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following {Assume negligible air friction}
The length of a cylinder is measured with a meter rod having least count \(0.1\) cm. Its diameter is measured with vernier calipers having least count \(0.01\) cm. Length of cylinder is \(8.0\) cm and radius is \(4.0\) cm. Find the percentage error in the calculated value of the volume.