List of top Questions asked in MHT CET- 2025

At poles, a stretched wire of a given length vibrates in unison with a tuning fork. At the equator, for same setting, to produce resonance with same fork, the vibrating length of wire

The displacement of particle in S.H.M. is \(\mathrm{x}=\mathrm{A} \cos (\omega \mathrm{t}+\pi / 6)\). Its speed will be maximum at time \(\left(\sin 90^{\circ}=1\right)\)

A sound source is moving towards a stationary observer with \(\left(\frac{1}{10}\right)^{\text {th }}\) the speed of sound, The ratio of apparent to real frequency is

To get output of the following logic circuit as ' 0 ' (zero), the inputs \(A, B, C\) should NOT be, respectively,

A long straight wire of radius ' \(r\) ' carries a steady current ' \(I\) '. The current is uniformly distributed over its cross-section. The ratio \(\left(\frac{B}{B_1}\right)\) of the magnetic field ' B ' and ' \(\mathrm{B}_1\) ' at radial distances ' \(\frac{r}{2}\) ' and ' \(3 r\) respectively, from the axis of the wire is

The velocity of small spherical ball of mass ' \(m\) ' and density ' \(\mathrm{d}_1\) ', when dropped in a container filled with glycerine becomes constant after some time. The viscous force acting on the ball if density of glycerine is ' \(\mathrm{d}_2\) ' is

The fundamental frequency of a closed pipe is 400 Hz . If \(\left(\frac{1}{3}\right)^{\text {rd }}\) length of the pipe is filled with water, the frequency of the \(2^{\text {nd }}\) harmonic of the pipe will be (Neglect end correction)

The logic gate for which the output goes 'HIGH' or ' 1 ' only when an odd number of 'HIGH' or ' 1 ' are at its input, is

A small sphere oscillates simple harmonically in a watch glass whose radius of curvature is 1.6 m . The period of oscillation of the sphere is (acceleration due to gravity \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\) )

Three charges \(Q(-2 q)\) and \((-2 q)\) are placed at the vertices of an isosceles right angled triangle as shown in figure. The net electrostatic potential energy is zero if \(Q\) is equal to

In a capillary tube of area of cross-section 'a' water rises to height ' \(h\) '. To what height will water rise in a capillary tube of area of cross-section \(4 a\) ?

A body cools from \(80^{\circ} \mathrm{C}\) to \(50^{\circ} \mathrm{C}\) in 5 min . In the next time of ' t ' in, the body continues to cool from \(50^{\circ} \mathrm{C}\) to \(30^{\circ} \mathrm{C}\). The total time taken by the body to cool from \(80^{\circ} \mathrm{C}\) to \(30^{\circ} \mathrm{C}\) is [The temperature of the surroundings is \(20^{\circ} \mathrm{C}\).]

A square of side ' \(L\) ' metre lies in \(x-y\) plane in a region where the magnetic field is \(\overline{\mathrm{B}}\) and \(\vec{B}=B_0(2 \hat{i}+3 \hat{j}+4 \hat{k})\), where \(B_0\) is constant. The magnitude of flux passing through the square (in weber) is

According to the kinetic theory of gases, when two molecules of a gas collide with each other then

When a metal surface is illuminated by light of wavelength \(\lambda_1\) and \(\lambda_2\), the maximum velocities of photoelectrons ejected are V and 2 V respectively. The work function of the metal is ( \(\mathrm{h}=\) Planck's constant, \(\mathrm{c}=\) velocity of light, \(\lambda_1>\lambda_2\) )

An a. c. voltage is applied to pure inductor. The current in the inductor

During the isothermal expansion, a confined ideal gas does \((-150) \mathrm{J}\) of work against its surroundings. This means that

A point mass ' \(m\) ' attached at one end of a massless, inextensible string of length ' \(l\) ' performs a vertical circular motion and the string rotates in vertical plane, as shown in the diagram. The increase in the centripetal acceleration of the point mass when it moves from point A to point C is

[ \(\mathrm{g}=\) acceleration due to gravity.]

The temperature of an ideal gas is increased from 100 K to 400 K . If ' \(x\) ' is the root mean square velocity of its molecules at 100 K , r.m.s. velocity becomes

A machine gun fires a bullet of mass 35 gram with a speed of \(600 \mathrm{~m} / \mathrm{s}\). The person holding the gun can extract a maximum force of 147 N on it. The number of bullets that can be fired from the gun per second is

Five capacitors, each of capacity ' \(C\) ' are connected as shown in the figure. The resultant capacity between A and B is \(14 \mu \mathrm{~F}\). The capacity of each capacitor is

Current \(I\) is carried in a wire of length ' \(L\) '. If wire is bent into a circular coil of single turn, the maximum torque in a given magnetic field \(B\) is

Two boys are standing at points A and B on ground, where distance \(\mathrm{AB}=\mathrm{x}\). The boy at B stars running perpendicular to \(A B\) with velocity \(\mathrm{v}_1\). The boy at A starts running simultaneously with velocity v and meets the other boy in time \(t\). The value of \(t\) is

The equivalent inductance between A and B is equal to